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  "name": "",
  "signature": "sha256:c220ac40051f1877619e8af69e3e80ab04ef73506397c0263d6619946635703e"
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  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "<small><i>This notebook was put together by [Jake Vanderplas](http://www.vanderplas.com) for PyCon 2015. Source and license info is on [GitHub](https://github.com/jakevdp/sklearn_pycon2015/).</i></small>"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Dimensionality Reduction: Principal Component Analysis in-depth\n",
      "\n",
      "Here we'll explore **Principal Component Analysis**, which is an extremely useful linear dimensionality reduction technique.\n",
      "\n",
      "We'll start with our standard set of initial imports:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from __future__ import print_function, division\n",
      "\n",
      "%matplotlib inline\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "from scipy import stats\n",
      "\n",
      "# use seaborn plotting style defaults\n",
      "import seaborn as sns; sns.set()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Introducing Principal Component Analysis\n",
      "\n",
      "Principal Component Analysis is a very powerful unsupervised method for *dimensionality reduction* in data.  It's easiest to visualize by looking at a two-dimensional dataset:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "np.random.seed(1)\n",
      "X = np.dot(np.random.random(size=(2, 2)), np.random.normal(size=(2, 200))).T\n",
      "plt.plot(X[:, 0], X[:, 1], 'o')\n",
      "plt.axis('equal');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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poLX2t9UPl49VcM2m4qzlDIwxd6tfGjW16HnLvF3Semvt6yT9qaS7PLen1owx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\nYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109002da0>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can see that there is a definite trend in the data. What PCA seeks to do is to find the **Principal Axes** in the data, and explain how important those axes are in describing the data distribution:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.decomposition import PCA\n",
      "pca = PCA(n_components=2)\n",
      "pca.fit(X)\n",
      "print(pca.explained_variance_)\n",
      "print(pca.components_)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[ 0.75871884  0.01838551]\n",
        "[[ 0.94446029  0.32862557]\n",
        " [-0.32862557  0.94446029]]\n"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "To see what these numbers mean, let's view them as vectors plotted on top of the data:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.5)\n",
      "for length, vector in zip(pca.explained_variance_, pca.components_):\n",
      "    v = vector * 3 * np.sqrt(length)\n",
      "    plt.plot([0, v[0]], [0, v[1]], '-k', lw=3)\n",
      "plt.axis('equal');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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EsHF+l0PGzs0Ly7IGmSofA5ioijz2WAe+/e0/AAC8/PJhDA8Pob6+oeTnKVX5x5m8/0za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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10970bd68>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Notice that one vector is longer than the other. In a sense, this tells us that that direction in the data is somehow more \"important\" than the other direction.\n",
      "The explained variance quantifies this measure of \"importance\" in direction.\n",
      "\n",
      "Another way to think of it is that the second principal component could be **completely ignored** without much loss of information! Let's see what our data look like if we only keep 95% of the variance:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "clf = PCA(0.95) # keep 95% of variance\n",
      "X_trans = clf.fit_transform(X)\n",
      "print(X.shape)\n",
      "print(X_trans.shape)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(200, 2)\n",
        "(200, 1)\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "By specifying that we want to throw away 5% of the variance, the data is now compressed by a factor of 50%! Let's see what the data look like after this compression:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "X_new = clf.inverse_transform(X_trans)\n",
      "plt.plot(X[:, 0], X[:, 1], 'o', alpha=0.2)\n",
      "plt.plot(X_new[:, 0], X_new[:, 1], 'ob', alpha=0.8)\n",
      "plt.axis('equal');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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oI5VQUbE9VOpWhLlBAMfzuzqJiGg3YAATVS2VHczmyxAC0FUZ2QEdiiIhm26c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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109744ef0>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The light points are the original data, while the dark points are the projected version.  We see that after truncating 5% of the variance of this dataset and then reprojecting it, the \"most important\" features of the data are maintained, and we've compressed the data by 50%!\n",
      "\n",
      "This is the sense in which \"dimensionality reduction\" works: if you can approximate a data set in a lower dimension, you can often have an easier time visualizing it or fitting complicated models to the data."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Application of PCA to Digits\n",
      "\n",
      "The dimensionality reduction might seem a bit abstract in two dimensions, but the projection and dimensionality reduction can be extremely useful when visualizing high-dimensional data.  Let's take a quick look at the application of PCA to the digits data we looked at before:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from sklearn.datasets import load_digits\n",
      "digits = load_digits()\n",
      "X = digits.data\n",
      "y = digits.target"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "pca = PCA(2)  # project from 64 to 2 dimensions\n",
      "Xproj = pca.fit_transform(X)\n",
      "print(X.shape)\n",
      "print(Xproj.shape)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "(1797, 64)\n",
        "(1797, 2)\n"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.scatter(Xproj[:, 0], Xproj[:, 1], c=y, edgecolor='none', alpha=0.5,\n",
      "            cmap=plt.cm.get_cmap('nipy_spectral', 10))\n",
      "plt.colorbar();"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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/PgDy8wsJBKazb98ekslktr502qCh4SjHjh2lvLwcl8tNTU0dc+bMo6EhSFFR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\nqgGgt7eXlpZmIBN0t2z5kO9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RS47xOHHH6yg40e0AthIm7vzdcO9Qx51+hJjrnzHUJjRR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\n7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X54MxKav6wIwapImIFy8DJf3Qc3boowPl7FdHR012WTlkBMTZAx0qiqg14tE5s6SXb1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qiSh9B5nJGbJeiBqME848hp+5BjWYQqvtjZ+O+j785Ab00kvoNQcyKlF2LbCUPYeuYOw7U1j1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\nLQoy4UmSJEmLgkx4kiRJ0qLw/wM1c7lx/Q17vgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x109d90a20>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "This gives us an idea of the relationship between the digits. Essentially, we have found the optimal stretch and rotation in 64-dimensional space that allows us to see the layout of the digits, **without reference** to the labels."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### What do the Components Mean?\n",
      "\n",
      "PCA is a very useful dimensionality reduction algorithm, because it has a very intuitive interpretation via *eigenvectors*.\n",
      "The input data is represented as a vector: in the case of the digits, our data is\n",
      "\n",
      "$$\n",
      "x = [x_1, x_2, x_3 \\cdots]\n",
      "$$\n",
      "\n",
      "but what this really means is\n",
      "\n",
      "$$\n",
      "image(x) = x_1 \\cdot{\\rm (pixel~1)} + x_2 \\cdot{\\rm (pixel~2)} + x_3 \\cdot{\\rm (pixel~3)} \\cdots\n",
      "$$\n",
      "\n",
      "If we reduce the dimensionality in the pixel space to (say) 6, we recover only a partial image:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from fig_code.figures import plot_image_components\n",
      "\n",
      "sns.set_style('white')\n",
      "plot_image_components(digits.data[0])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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       "text": [
        "<matplotlib.figure.Figure at 0x109d9d390>"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "But the pixel-wise representation is not the only choice. We can also use other *basis functions*, and write something like\n",
      "\n",
      "$$\n",
      "image(x) = {\\rm mean} + x_1 \\cdot{\\rm (basis~1)} + x_2 \\cdot{\\rm (basis~2)} + x_3 \\cdot{\\rm (basis~3)} \\cdots\n",
      "$$\n",
      "\n",
      "What PCA does is to choose optimal **basis functions** so that only a few are needed to get a reasonable approximation.\n",
      "The low-dimensional representation of our data is the coefficients of this series, and the approximate reconstruction is the result of the sum:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from fig_code.figures import plot_pca_interactive\n",
      "plot_pca_interactive(digits.data)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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3tuScB/99kzJcBysPFwK4M5PlBMj7+FDvhtzA2tSH5AWq+gSAJw55LfL4UNXV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\nQwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ba95588>"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here we see that with only six PCA components, we recover a reasonable approximation of the input!\n",
      "\n",
      "Thus we see that PCA can be viewed from two angles. It can be viewed as **dimensionality reduction**, or it can be viewed as a form of **lossy data compression** where the loss favors noise. In this way, PCA can be used as a **filtering** process as well."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Choosing the Number of Components\n",
      "\n",
      "But how much information have we thrown away?  We can figure this out by looking at the **explained variance** as a function of the components:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "sns.set()\n",
      "pca = PCA().fit(X)\n",
      "plt.plot(np.cumsum(pca.explained_variance_ratio_))\n",
      "plt.xlabel('number of components')\n",
      "plt.ylabel('cumulative explained variance');"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Azl06PcuViIiIHJt0Zr/HCXdo+2bmy8mORBDw6HN7KSsp5NQFU7JdjoiIyDHR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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ac5f5c0>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here we see that our two-dimensional projection loses a lot of information (as measured by the explained variance) and that we'd need about 20 components to retain 90% of the variance.  Looking at this plot for a high-dimensional dataset can help you understand the level of redundancy present in multiple observations."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### PCA as data compression\n",
      "\n",
      "As we mentioned, PCA can be used for is a sort of data compression. Using a small ``n_components`` allows you to represent a high dimensional point as a sum of just a few principal vectors.\n",
      "\n",
      "Here's what a single digit looks like as you change the number of components:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fig, axes = plt.subplots(8, 8, figsize=(8, 8))\n",
      "fig.subplots_adjust(hspace=0.1, wspace=0.1)\n",
      "\n",
      "for i, ax in enumerate(axes.flat):\n",
      "    pca = PCA(i + 1).fit(X)\n",
      "    im = pca.inverse_transform(pca.transform(X[20:21]))\n",
      "\n",
      "    ax.imshow(im.reshape((8, 8)), cmap='binary')\n",
      "    ax.text(0.95, 0.05, 'n = {0}'.format(i + 1), ha='right',\n",
      "            transform=ax.transAxes, color='green')\n",
      "    ax.set_xticks([])\n",
      "    ax.set_yticks([])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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md30buO24uUeWeZRkFd8q43vLmmZdPK9Ssswqyeblm6uWnVdtniCIZdC2TKkZ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0WCoeVKGhXqEqkkjL45TB8p0Gpum3VIanM7TN8AsqmRUJrEhsXWaPFzqgQhln82lFRbiJlZrCHD\nQSH7MIbm7Eaj2Q4VnsaCpjUdhNMw8jl8MuTyA70X0yY6iBWjZhjOlvySmG1IduoorZ5yQKuxVGcf\nikD5LPa5FpUf7xUyFqHI0kZKdstFdQgApkbYvmdaRgs5ajoyH1bitOnFXq8X+zwji1mJ0LLkFcKY\npKM+XQ2lUHU5CeUIYMIh+HBp/+nrMrCFpuhCxYQaDeph4XqPWQmQL/jwBWXz4J3LYYaE7Fvwywf1\nhcM83iWU4lLDNEv15DIV3GeIktb3+Bwl8dH5MdTnvUej0QSLUyZn8emgYf+mxWiV2SqwVTZgcsch\ni8/2neLjzkTEF0XR1IhmkRbS0VAmAPATOuqpzuHqoAcQJHY6BqzhCBnCefH5ZGi/Q/FpRKIYuXuW\nTqPs7+9jPB7PhA+YrBRWEpVGntOMra8ffTLkkWc+XQgV0SX18zLkZ+9v7YzFaJ2lpipVR33rTKMo\n8qaPk6I/i22ZMhyNRm7zEpv6Jj7rK3gEmMqOOpqU/p/l+dMQg7kdpk/APsbHh9G0gQq5UCh4U7p0\nmD6H4gufreAXFfK8DiU0UK1D0fuqMbJGCUBs8Ibw8W9p8CU5E0sIQoO00+nE5Kx9Nh6PJ9JXxKgk\nQp9rGYPU3s83V5IkQ190Yh0mjRGAILHz9UtSZJQWn+poUvGZyjBECBSb4vOl5yy+KIomHMqy8Gmt\nQKjynjK0qUUdh9pP09KqSQ5lWU7TJ0NOf/i+IwmjjdzUYXJO0qbI7ZhLcprLkCG/N7Q2H5h0mHom\nqMqvUChMVCtPc5ZJOO7WCNNWwSZFmBpmc1D67htyJqFCgiRDm8aphCLoUBrIphE0FWTvqw7F4hsO\nh84YnS2HMmt0ovdPMkQ+nQAw4TBDhECfyYctTerWh3GaQ9F0pQ5Yy97z+bybTphW9TpPhDIPRntP\nK8dQBO3LhFh8mmr3jT+b4QkZ27SZENUBXz1EEkH3GVyNoDVt6bMrvj72OcwQ6ZlVhj5irs5ylpRz\nSIaKk8GHEgPf9yddixIC2ju2kAwtPnWYupMRneW0Ajq9b5KM5rUtMztM/XIfe5/FmVhmq+D0ntbQ\nTjNKPmeyiKB9DiXJGIVSsr6BQYfiIwV3x5zKLNHXNBkywvQ5TKYrQ4SA97SpaotrGRhVhsPhcGKg\nsmmWYFq6y+cwrX7azELI2C6Cz+qoNbjqSHw6SmKn81+c0+S2ar5IjBFmqK+tDqXRV6tP/F7ffq9W\nTy2xYwrQzvHZOXZrU3z9vMwIDIgfD8bv9xFYNsWoKUufs6TDtFuGTkvJ+uSXpmm/6e/0dBErQxt4\n0M7o/rjFYjHmMJMqhEPPv0j9xEIpWRt96UDlg/kMEYXsU0YWV4QMbhIbXKZDSSIF/K5QMQwx6v/q\nfQB/uospy2kT2ctU5lCUyRZKA+nJMTaSs/gUYxRFM5EC/j4tPu1z6owO1FmJnS2ooFOxmRA7H2b7\n2heBLcreQw7TZnp8BU1KCPQiRhud+AiBjQZ90Ula+dnIazwee+cxlRjYSkglPL7oZJYq4ZBDWbYM\n+d1J2SyfDO1ezSrHUISp329tsA/bIoEHHSa/R1dOWH/hm9rSPY6597Gt5A0FGvoc+rtF2tJSstPm\nhtQQaQ7b3svOMUxLyYYisGVHKKHoIGleQRWS9yBRCM3RcvD4Ul5nC5s1tiHSY9NAluj4ig18c5gh\nQrAsfMBk1sKnp2yW2NnUus6d0OgyE6JFTdb4WoeSlM6bB5+NfJQMzJolUIPkIwTZbHbmDIiPECxq\nbH3OxJfOoxx9UyPsk0Kh4LAWi0VvKj0kN0sulyFDlaNGYVEUzTyHaU+/UWKgP+sc5qwR5rJ0VO8x\nGo2QzWaDpMeHT8eeHhpg14omjbtl2BRtqSJMGiA7ketjq2SjBwcHbksi/hwqDGm1Wmi32+j1ei6l\nQHZknasyD+a6VRjz4vNhJLu12JheoELs7++7VKzOh/mcRrvdRrfbdWyJ6Upi1MFuTyUIpYfnxacY\nFZM9uYIyIz4gzgatY8xkMhMyZNrLytDKz6ZslmFwGfVqWkdPW9ElQMPhMKanOiWgDjWbzWJ3dxet\nVgudTicmR82e2AGvBi1telZlqOTK4uN3Eh8Ah6/dbk8QBR2TmUwmhk/lyHv58KmOsh/SyM9iBDCR\nctSTO+w47PV6Dh8QX/dNR9lut7G7u4tmsxkbj4PBwB30rjpk7YyVYZqxSJw+jBpZ0TlajGzERttK\n8r23tzchQ45RPgfxLVNHeW++kihb262OkFkr6y+UjDGbQL1ttVrY2dlBs9l04/Dg4MA5TpXfNF8x\niwwXSslSyGpc7avtAL6n4HSg8n2n05kQsE5Yq7FVw6cGdxFFVuZOg+Q7ekwj5dFo5Oa2+D4pyvI5\nzJCQVZGXhY/Gjs1GGtZhcpDqgPURgoODA2SzWafA3W43SHo4SHkckz1kOi3L9RlbYrRHQJGxsi+s\nnmr0aB2mNUYqRz5HNpuNfS/xWVKXVobEGEXRhBNRRm4dpi08sw6ThIBytPi0j+2xfYvqqGIcj8cu\nAtMshpUl03vUTcpS5yctOeh0Ol6HqQSWUV+I2C3qUJTUq23jWFTyYx0m5an4FKPKkOSV+EiUfQ5z\nWXYUONrOEJg8Vk/7tFKpxKasVE9JXHg/zeh1Oh2vw9T+9fkLtW/zyDBVStYaIjW01qFoRAkcGSQC\n04sCZylxyGEqs7WdsEgEpve3DiWE0SoxnSVTdr6ipWw2OzFALT6fw7SsaJFB6pNhUoQZwqfYlNna\nyIusj88wK+tL05S5Uz7qULQ/yd7ZnxyoZPBWR9UYqcMMER8agWVlCdg0lUfM1omwX3u9nsNHORwc\nHDh8lgz4CIHFx2fQCFMJwTIiaJv6tRGmypP/Qz0lMeWaUo0sibPX6zmMSQRWHYoldiTM/P5Z8amO\nWowhUsC+VIyDwSA2R62ZLStDJa8kBD5bs6xxqH3CyJCZLf0+ElftD9XTg4ODWGSpMux2u9jZ2XEY\nfdksm420GOeRYaoIk9VcaoisEvM9GQKBuy/O5WIGSJk8U0YqYF86z7Iiy4xUWPNitMYohI/pPq0C\nZdMoWh1mLpdDq9VKjDBDKedFma3Fx599GQK+pww5/wUcMj2bJSDOXC4Xi0yoxL60ug/fsiJMvleM\nvghMmSwHIwenZgp0yUkul5tIWepckeLU1JoldWnmWKyx5XubxtPLh48y1GwBf7YpZyvHUMo5barL\nYrPORL/LkrtisejGj424stnsBCHgPG2/30+MMNVhJunpIuSV2OgIfSlLXopLcVrSo/PQzWbTm5LV\n+UzftMGyxiFfQ7ZND4rWKnrVU45PWyvCSzMh01KyScHHUiNM3yC1A9U3v+BziKyW9P2NRooCZgfM\nE4Etym5DxiiUkrVpO76ngbFXPp+fKSXrSyNYfHzGWZtltIwebVpdfw5FWZol0AGbz+e9rFYn5H3y\nI8ZF5jBVfvqeyxLs95XLZefsKAfrQGz0RYdJY6RzX7NEYJb0LAOfzkOrkbX4LBbqnzoSxRdKyRKf\nb/5rEXyKkxhVftZpsk+JzRZvMWtgHSblRYwcj3bOnTKchbimSVnSmVjn5YswfWNNp7OsHJnJCtWE\nJKVkl5Gp03SsRpihOUzFYWUYqmIfDAYOn3WYgH+efRFSkCrCtAPVzn+pQ6GjU+bD882sI9EcvI8R\nqbH1RWCLzg9ZY8SB6iv6UYfJ51bmQ5w+fIVCIeYwfXO0vjTJMop+rBzV2PrSspQhI0wqKnHaopjh\ncOjwUYGTCres/JbFbO2ApZ76UpalUgnA0ZyXbs6gzkavXC7njFFSStbO1YamDdJEmCF8vrl9jUS4\n7Ilbx1mCQIfZbrdjcpyWCUnS0bT4fIbPF2EyArHj0KbwdA3q/v5+zKFMS8nSsKudU2KXZizqe2bu\n7BxmqVRyxXYcR2pLLenR6m6SVsrbztGGSM8idtSHkT+Hgh2mZHVunTgoW4uv0+lgOBw6fGpPp0WY\nar/PmsPUTvBVrymrrVQqqFarrhMImA5xNBrFlpjQSTCFYoXK1KBNNTH/HWJ+izgVNUg22iPGXq/n\nGBAFxeiSqVwOAj4XFV4FaytifRhDVaTzKrLOD6kMp+HjfJDiU2xUThplypnGzmKj3FSGixoinwzZ\nLEbqKNPMJHUAnA7yc3ZQ5fP5CbKj97dEZ9o8+yI6qvjU8Ck+RlrEp4Uj7OskfJqatPhUV5eFT7MR\nAGLRiaadqafERBnqNJB9Dk1lkjBQhjSuNsLzVcguo7DJ/uzLLLFwS+2MHZNq54gvm81OEACbLbPE\nw87tLTLP7sNpSVa5XEa1WnWrCygXBiuUoT6DRpucVuBcLm1SFEXecUgZWpt81iJMKrI6E2Vg1Wo1\npoR80Ha77R6KnWIjCZ2D4JyTOpPhcIj19XU0Gg3U63WcKZ7B7536PfyXC/4LyuUyXvHZV2BzsIlM\nJoPbW7fjcec9Dr/75N9dOJ0AHBlDYmw0Gi5d0G63nSNTLDZaAo7Kv2mUFGupVEKj0cD6+jrq9Tpq\ntRruyN6Bt/zjW/A7T/gdFAoF3N67Ha/8xCuRzWRxYuME3nrDW1Mps5WlxceBBiCGTTH40t86WDm/\nS0NbqVQcPmI8mTuJt33tbXjnE96JYrGIr7W/hld94lXIZ/I4cewE3nz9m1HKlObGpzjZaCyKxSIq\nlYrDSPyKgYOVg9tnPEgCqKMki8RXrVfxR6M/QvPOJnAGeP7Dno/rLrwO3+x+Ey/98EuRzWRxxTlX\n4E3XvSm1QZoVn5WRxefDSP3k+2LxcA3j+vo6NjY2UK/XUVmr4J1b78Tu1i5G0Qg///Cfx/c96Puc\nXrziE6/AFedegZ995M/OjcsW/Wh6lIZWl7rYccbCHzvXqLqfy+VQKpVipO7g4AAbGxtYa6zhfeX3\nodPuAF8Hfq7yc3jKfZ6Cr+x9Bb92y68hl8mhmCvit2/4bZxXOG8pTsXKkHPKwBFxszIkUfU5N449\n1dGDgwNnR8trZbz74N1OR//tQ/8trn3gtfh6++t45c2vRBRFuHj9Yrzpmjchm8l6n31a02I/JV4k\nO2tra27enPLTZWvsFyUEukEI+4yvnLOv1+uo1qv48+Kfo91qI+pGeG7puXjyuU92xORPv/6n+P0v\n/z7e+8z3nr0I0zoTNfgUMqNDDkbrFPf39yciCXUmLErRzh2Px87Qfir3KXy2+VmsFdZQqVRQKpXw\npqvfhHw+j86ogx9934/iNVe/JlWEGSIFfI61tTWX3iJ2n7DtpDL/plEXhczf1+t1Rwg+NvwYbj51\nM9YKayiXy8jlcnjbZ96GFzz6Bbj+Qdfj333k3+Gm227CjZfcODc+vmdTfNVq1bFSDjQrPxpba2Tp\nMLVfCoVCDB8H68dHH8fNp29GrVhDpVJBPp/HL//lL+PVV70a/+oB/wqv+/Tr8Dt/9zv494/99zPj\nS2ocJHRsNovhq8Lj8/vSU/wbX5l6p8O8tXQrjhWP4VUPfhUKjQL+9Sf+NZ586ZPx65/8dbzscS/D\n1RdejZf85Uvw5//453jaZU9bCj41thafjjGOQR8+dU6UP9Odw+EQjUbD6ejnx5/H8dJxvOExbwBK\nwNPf93Q89bKnYmd/By+46QX42u7X8ND7PHQhUqc/K7GrVCqxLIYaVMpQszyMou391JmQsK+vr+Mb\njW9go7CBl1/8cpTWS3je556HZz7smXj1p1+N33jCb+AR930E/ueX/ife8pm34D9d859Sycz2izpu\nkleVocWnmR5fRo22h1NHlD/t6FeKX8FGcQO/cvmvoNAo4Nl/9WzceMmNeONfvxEve+zLcOX5V+IX\nPvYLuOm2m/DkS56cCiObb86Uekq7D8SdJdPqNgJUQsSLBJ191Wg08PXa17GeX8dLL3opiutFPP/v\nno8feMgPIJvN4ks7X8K7v/pup++zzLenOkDaCtlGmJqisg7jnxr/hG9WvokDHKBf7ePiOy7GxXsX\nu3v1x33cdPwmRLjrOyLgAYMH4LHdxyKTyThje0HhAtx47o14y+1vQaVScQ4lm7DivKwAACAASURB\nVM3i1X/zajz3O56L82rnLWXCmhjpUDSFQ4wU5mg0wm3HbsMd1Tswyo7Qr/Zx4s4TONE6AeBQ0P1x\nHx84/gGHDzjCqA7zwuyFeOqJp+L1X309SqUScrkcKoUKmgfNwwn9/TZKuVKqwhE+C39WGa6trcWI\ni8pvOBzito3bcMfaHRhnx06GlzQvcfcfYIAP3ueDOBJhhPMH5+MxncegXq9jY2MDjUYDF2UvwtMv\nezped+vr3DqsO7t34soHXolcLocrH3Al/vvf/3e84LteMBe+EGbL3pWhsj84WL9a+ypuv+R2jLIj\n9Co9XH7qclzaudTp00F0gPee+97Ydzxg8AB8Z/s7XRT9hPUnYOPYBiqVCrLFLPLZwzTUFza/gKsv\nvBrZbBbXX3w9PvKNj+Dplz99afhKpVKis6Qxum3jNmwd38I4N0av3MMVW1fg8u7lR1FYboz3n/v+\nCYzX5K5x4/BJ60/C+sY6yuUyhoUhcpmj3bpe/viX40O3fQhjTD/JPgkXmzqTcrk8MVfFNhqN8JXq\nV/CNwjdwgAN0y11ceupSXNK8xGEbYIAPnnukowBw//798ejmoxFFETY2NnBB/QIcP34c1WoV+XIe\n+cyh7rzj+96B+9fuf5g2HI9QzpeXkpIlRqYrqaOanqYM9/f3cWv1VtxePtTRbqmLS09eigftPcjd\ndz/ax0fO+0hsHN6/f388uvVoZ2OuWr8KG8c2UC6XkS1knfzecd07kMvmMMQQp7un0Sg2FoqgFbOS\nHp3SAOLO8mv1r+GOy+/AAQ4wWBvg/K+fj/NPn+/6oD/u45aLb0GEu/o+As7rnodHNR+FfD6PRqOB\nB6w9wI3BXDGHXObwu3cHu/jNz/wmXv3dr8aL/vJFZ28O04IHEBuoOkgLhcJEZFIYFzAujPGIzz4C\nB/UDfO4hn8OJ1gn3P5mDDJ66+VTn/FyuuX4oSA7U7218L3qlHjLZjHOYmUwGW/0tfPKbn8RvPem3\nFq7S06al5epMGD0DcKnmQnSI8VH/8CgMagN87sGfw6VfvRTAoUIURgU8bftpE3n03Hou5jCvXb8W\nncLhJuflchnZbBbPfeRz8SPv+RG86bNvQqPYwNUXXL0UY2Tx8XckAxqVEN/DP/9wHNQP8PmHfh6X\nfuVSJ8P8KI+nbj01hi+XyyG3kXPOpNFo4PqN6w/x3SXDbDaLixoX4ZZTt+DqC6/G+7/2fnT2O0uT\noTpM1VNGl8raC6NDjI/98mMxqA1wyyW34PLbLj9KV0Z5PLP5TKdj2WwW2VwW2WNZJ8ON9Q1sNDaA\nIvAfb/6PeNl3vQyFQgHA0bxhrVjD3mAvdQQ2Cz7WG+g6PRb2jPIjXPVPV6Ff7eOvLvwrPOSOhziM\n5WwZP9L5kVh9QbaUdVmCer2OjcYG1uvrOMge4PkffT5+6cpfQqFQwMWli3EicwIf/saHUzkTX9OU\nrB2HwFH2Zn9/H/lhHqP8CI/90mPRr/Zx84mbcWn7UqdLuVEOT9l8ykT9RHb9UOc3NjZwbP0YjjWO\nIVPK4BV/9wr84uN+EcViEQ8sPRCZTAaf+tan8I7PvwN/8RN/kVpH2TSTRVJAZ2llSB3NjQ/l95gv\nPwb9ah+3XHoLLmld4u6VH+dx4+kbveOwXq8fyrG+jmP1YxjlR3jZp1+GX3zcLzqb9s3WN/HDf/rD\naBQbeNi5D1uaw7S2hhhtZJnPHMrwxF+dwEH9ALc+5taYw8wf5PHdX/3uiULFQv1w3rJer+NY/Rg2\nahtAAfjlL/wyXvToFyGby+LFH34xXv2EV6OUKwHRkR2Y1lIX/dgOoMMEjiJOrXxiZxT7RWwMNg5T\nDqMSxplxLC/fH/fx/uPvRya6K72QiXBJ5hLcULoBxWIxlg7K5g+NFVOymUwG7/1/34tnPfRZyOfz\nE8wzTdP5KqYWVeicw4o5lP0CGt3G4d9HRYwyo5hT7Y/7+Itjh4OMOC/JXoLvr3w/arWaw1er1RDl\nImSyGUcInv8Xz8cHnvUBPOTch+Dtn3s7XvbRl+GN179xIWyUmQ9foVCYdCaCjzLUqHWAwaEMM0cy\nPJE9gRurN6JWq8XmoaPs4XdVKhVEUYR3PPkdePGHXozX3/J6fPcDvxvN/WYqGfoGt6aC9Gemq3Sp\nRaFfwHp//VBPxyWMMqNYavogOsB76u9BlImQiQ4xXpq71MmQBqmdbeOFn3ohnvOI5+BZD3uWkznv\n1T5oY724njpLYPHR2Co+pvwpQ7ex/LiAjf7GYZ/gSE/duMkD/7f6f2MYL8tfhmduPNPJb21tDXvR\nHl74oRfieY96Hn7s4T/mHCRlv4xxCMQdpiWtSggGgwEKvQKO7x8/1OFxAaPMKJYpGWCAD5/z4Ri2\ni6OLcV3hOhQKBZcF6Ra6+KW/+yU8+6HPxo8+9EfdeH/3l96N1//16/EnP/InOLd67txYVH42itbV\nBcTMtLhuupDfz2O9t37492EuJj8AOMgc4IP3/aDDl8lkcHF0Ma4vXu/0s1aroZVp4Vf/9lfx0w/9\nafzwFT/sPn/RxkW45aduwbu++C688hOvxNuuf1tq2QGILdNRf0HMtJ/ugI5hDvVO/VDG+3mMsqOY\nnemP+/jUJZ86HFPZQ1tz0fgiXJO9BuVyGY1GA7VaDd18F7/ypV/BT17+k/ihB/8QvrjzRXy9+XW8\n5GMvQf+gj69sfQWv+Pgr8Bvf8xtTMcxd9GPfq3G17EF32XDGdlxAbnCo9MjBeXd2QnaYxVPOPAWV\nSuUwciyU3ftKpeKEXK/XgQyQzRwaWxqJj3/z43j5VS9HLpebeOY0OH0YaZToqBlZOmPbKSC378c4\nGo2QH+bxjN1nxHDxIrZarYZarYZRNHIRJgD0hj0cqx5DLpfD+bXzcfO3bl7Y2Co+IJ5+JtNlVNLr\n9ZDv5JHdv6s/8vHF14wwn7H3DFelSWzVajXmTOr1OsbR2JEeAPjg5z+IP3jmH+BY+Rhe8P4X4IYT\nNyyN9HCwlkqlmPPUweo2JR8VkB/njzBGiM3x5ZDDs/rPOqzwLZVjFb9ra2uo1WrYL+zjhZ95IX79\nql/HDZfd4AzEI+/3SPz1HX+Nqy+4Gjf900245qJrFmLvNtNj54k4v6r4ut0u8vv5I7nfpadaGFPO\nlfEzmZ+ZqGQmvlqthn6+j+d+7Ll4w5PegBsuv2HimXivZaZk1dYQ40R0MswjNz40zOPsGBGimPzy\n4zyetv00h6tcLB+9v8vYjsojvPwLL8ervutVuP7S6914eNffvQvv+Ow78OGf+jDWS+uxedZFms4d\nW7yFQiGGr9vtIj/OIzvOOoz8jEaYT99+uiuuKReO8HEcDgoDvPjvX4xf+65fw/WXXu+W6DzrT56F\n1zzxNbi4cTFqhRqymXSbMwDxMyd9tkYLyoit0+kg188he3BIApGJ3280GiGzn8Hjb3081tbWvFe9\nXsewPMQvf/WX8YpHvgJPuuRJKBaLuPKCK/Hpn/k0AOAbu9/AT//ZT+O117x2JiwLpWS1KaukoFl9\nqBVcmSiDCHet/4smFU3XXvF+/LymaTV60XD6K5tfwcUbFy8lfcBn8OHj8hCb0nEYo6O8egT/s/jw\nTdwPR1EoAPz2jb+NH/vjH0MpV0IxW8R/vfG/LgWffR6mtybkx6g4ykx81ndvDhCbYte+UnyXn3M5\nrn/X9Shmi3js+Y/FTz3ipxbC53seK0fF59L40VF/+GTou5dNff3O138Hrf0W3vz5N+Ot//BWZDNZ\nvOdH34PXPum1+Pn3/TwGwwGuOOcKPPPBz7xb8MVkyOhP5n989wnpKGX4zi+/E839Jl5/8+vxW5/+\nLQDAnz7rT1HOHxK8u75hKfj4bIptOBx65Uf9zGQyGEWjifvYyk2fnfmDb/4BWgctvO0Lb8N/+/J/\nQz6Xx3t/8r144U0vxIWNC/FDf/RDAICrL7gar3zCK1PjsT9P01HnFCPE5ebpZxfpC0aV3+/f/vto\n7bfw1n94K377S7+NbDaL//OM/4NfeNwv4Oc/8PPIZ/Oo5qp487VvToUvhFnxKUaVodreMcYT+Kwj\ntnLMZrP4wzv/EO2DNt7+lbfjd7/2u8hlc/iTH/mTw1QsMPf8epTEjjY3N2N/DEWYmiqwr5ubmzhz\n5szE1Wq14gou71k8xOhEX8mMyCDIdBlhTmv5fD7WO1tbWxMd4MMZ2lmj2+3izJkzOH36dOz1zJkz\nbjArNjIq4rE4icdGmozA5sW3s7MzFz67a0i328Xp06dx+vRpnDp1yr0/ffq0w2edfD6fj2FbW1tz\nGDUVpJGm4kvSycij3bu7uzNhZJRlsXa7XWxubsZkd+bMGWxubrrtyvRiSolsnXPofGUEppFYrVZz\nWQL7fLZZGS4Lnx2DFp+SGsWn2JaBL5fLxf64vb0dFLjex7cLE99vb29jc3PTvW5tbWFrawvtdnvC\nONMYs9KW+PS91hLopdsM6lpmq7NWhnfccYfXllo5hmTY6/WcDPV1c3NzolpUCZzFpZmskJ2xa7Tt\newBoNBoxfHfeeWdQhvpZzXRYOVo7yqvZbAZlyGUpVh/pH3wXMz0hbGzVanVCiRefWFi1fxFtWWmn\nVVu1VVu1e0ub164lRpirtmqrtmqrtmqrdthWEeaqrdqqrdqqrdoMbeUwV23VVm3VVm3VZmgrh7lq\nq7Zqq7ZqqzZDWznMVVu1VVu1VVu1GVriOsyTJ0/OVSqsyxF4cTmCvXZ3d4Ol1VxY67t8ZfzcuMCu\nE7P72ALAeeedFysVPnXq1ExVTxYbf+50Ojh16hROnjwZez116pTb/FnXQnHjA11gW6vVJpZf2DJw\n7iXruxTffe97339R+ADgzJkzc2PUsvZOp4OTJ096rxDGfD7vStft8opqtepdqjArxvvc5z4xjKdP\nn55pHCbh0zJ9Ld3niTvA5GYkWq6vl10KpTL1rfu0Y9Di29vbm2tZic/OnDx5Enfeead75fvd3d3g\n8jUeNKCYfO/1lXbGd2lbX1+PYfTpaGh5lx7kTVmqjtrxyGUldglboVAI2lGrm7oxxbR1kcDkOLRL\nEEMtaVmJxcVrb28vvgWlvNclMr5lToqNP/PABHtPK0Orp8AqwrxXtG/3SuVvd3z3VFv166qt2t3b\nlrbTD3C0+TH3dNTF/vwdjwnS41xiOzrIWWd6L95P72EXDId2m1lW4/fpwaYWnz47MdrdgpLw8V4+\nfGe7/UvCZ4/xSsLpdowRvD58PozEeU/is+PPjkXfOCTGELZZ8S1z/BHjPDaGe7KGNnqw92DU48N4\nd8hxVhnqc1GGFqtPdppBsrK8O5pu+uCTY0iGqpN20xz1DcQ4GAyQz+eXbm9SO0xVQO6lyk2d9drZ\n2cHe3h6azSZarRY6nQ663S56vV5sGyjek8aJ29/x/pqO4Sa+PAZHj7+x97TPmrbRiRAXMbRaLezs\n7GB3d3cCI8+T9KUsde9Vxcfz+Jj2496O+vkkrCt8yRi5cTXxdbtdh5F62m630el00Ov1XErWPh8P\n7g3pqG4OToxJ+JYlQ90rlle73cb29rbD2Gq10G630e12HT4gvi2b2yIQ8RPumT7jaSi673CoLYJP\nt7ALya/X62Frawvb29tOT1WGvl1wMpmM00XfPrt6RiP3jvbJ0OJM23hv3YCc48zqqMqv1+sFd/rh\n4cu6FzT3aWXa8uDgAABiesrn8W09lwaXNpWhyo++wie/fr8fTKvz/nbj9na77Xb2oZ3iPtI+fIoz\nqS0lwqTDpEDa7ba72AkqaHZEkuEIDVbd8V6PMbKD3r5P2/h5Crrf78fw7e3teTGqQ9G9HCk4Nj0F\nhIel6iDlwdk+o73CN1/TwUp8rVYLe3t7ztgS4zSHqfOOduNvdSY84f7ucpiKr9VqodVqodlsYmtr\na4K8ttvtGOmxDpP3tMZIjSyd5dmOUNSx0cYQX7vddtviKbGjs/FtqZbJZFz0Qd3s9XpOJ62eVqvV\noIFdxJnYwIOkR+2o1VE6lG636/QtNA6pm8TXbrfRbDadbgNHciSBWEYk7buHnuVJQkD5kdT5xiAd\npk+OemQd9ZOHBQwGAzcW7QHhvjaLDJfiMFUoZEPNZjNmbEMRphoiu+GupiSo1HSWPGBVI5aQEUqj\nzPYzaow6nY7Dt7u7G4yiyfyIje+z2axTTKYiiA84Ei5PlOfzhAzsCt9szWLc29uLYUyKoq3DpEPx\nRSg+jNOiaOJcxFjxOWgYiU3xWQav6S59PsqQ408dCg9V4BjUzIFty8RnCQHx7e3teSNM2hnrSPiq\nx7n1ej13KgiP8GJEUq1WY4fG+9qydZQORWXoI63qMO1FUkC97HQ6DiNPkiKpUz1NirxmkaH9u69A\nlM9DMtBsNoNZnn6/P2Fj+GpPcFEZ2siyWq0GZTir/JaakiUzarVabpBaQzSLItv8PQVeKpVcGq9S\nqWAwGHgNrj7fstk7FZkCthjJlrrd7uERNB6MPA1E8+2FQsGxYeLjYLg7o5NvR3waCWoU3Ww2Xaoy\nlA5Kcph6rBt1tFgsugpFblQ+LcLUZ5wHqzVePoeys7PjHAkNrkZgSaRHmTunP3h8GPH1er2gM/GR\nnkVk6cO3vb09VYY++WUyGUfieCYqN50nThpZRmNng5hryhmYJD06DlV+JHSa0bDPEkWROyjcXsPh\n0DnLarUaG4v6XPpsSThDTtTez2dnQr7COkwfsaMMdVWEHgFHOa6trbmIM6n2ZZoMUzlMe1OdwyRr\n2N3dxdbW1gQz0gjTMgadW1Bmy0NwySBoiLQD+FzLMLb2M3TinONTRVaMNjqhQ7EYs9nsxOS0DlrF\nN8tAXeGbDWvIoWxubjom78MYcpg2siTObDbrMPb7/USMfMZlkh6m8+hQNjc3Xcag2WzGiI9Gvr45\nMHuKiZ4otLa2lugwfTJI2zSdx7l12pgzZ87E5GcjzFB/h5YqkJRXq1XU6/WpGJchP+tQrI5ubW1N\npNOtw/Q9V0i24/HYZQjq9XpMT5OcZhpM+urLZKmd8UWYSdN3PoxRFDlbQ3Jer9cxGAwSi9RmwTi3\nw/QZW6ZubIS5vb3tHaTWYdqLBncwGEwcG8U1mt1uN+Ywk9j6Isrsi06soInPkoIkY5TL5Rz7U2NU\nKBSwtrY2gc8abD7booP12x2fttBg3d7edhjtYA05TDoUi4/slms0ZyEFaTEmFVRoBL21teXm+zhd\nQjmy721RRYjMZjIZtwa13W4HncmyxuC0CHp7extnzpxxmPTqdDpuGiCkV74rm82iWq2i0WjEMPqK\nYOaJTmZptKMhGXJO0zpMfbZZ3kdR5BwJ+0mjrzQFMdp8zlKnL3zBFccf5cc5aEaY+gy+oE1fSeoo\nR7U3of6YBeNcDtPHPsbjsQuLtSqPuWkVBgAXIvuYK1/1u3QujMrESsRQOm+eDkiDsdPpOGWmYDmg\nmI6rVqsAMHFeJCtILT5G1bPgW8SJfLvjs7iSMNJ5NJtNN6AYNZN9E6NvQb7FOBqN0O/30e/3Y0sT\nQhkQ/i6tDC1OGiKtFKTxUaPPVJwWttiDhTOZzMTyIK22tEsvllEo4sOnV5KdUYMYRZEj19THUIWl\nb6mNXd5g+9sns7R2xl6cT+10Ok5Hqae9Xi+mo7SlSnqU5ADxc3x1CVVoucwyyRzHhL5XGap+Wl9B\nvaSvULnpq29ZkA+fT3ZpCE8qh6kdoaXsKmh2hiqx5pVHo5GbK9B5A1ZrsWO54wU70q6psR2xqNP0\n4VNFZik0o5BOp+MMkQq4WCy6ORGLkfMnio3vk/AlseQVvjhGi4/OzOop2TqjQMXIV8XIS+fALE6f\nI5lG6uaVoeJSGVo5MpvDJQZMidOhMOq3YzCTybh78b68LOFiS8rwpMFnLx821VHOx/L5tUBJpwX4\nnlMQipPzldYBJWGY186E8I1GIy82jkU6AmKkLbU6SoxRFHmX4HS73dj0gZKJEM55ZKgkWcnWcDic\nWPKkpMBWtXJnLOsr1N74lhmR4LMvFGNoHJ61CFM7gO+paJb5tVotN5gp3Hw+7xhRqVRCsVh0F38e\nDAax1AMAl9pS5UoS6CKsyApaB6tPkfk5GlmyPlZrKU5uPaXpFc7b2u+02JYVXX674lOMdqBajBpJ\ndzod93kOrmkYoyiK6Xmr1XL6qRhDpGDRDIiN/EhcdYkEiUG323Wft1vxWXx8pQz1Yh/yObRNcyZp\n8NnITwmBdSrUJzrKYrE48bO1Nf1+P5aibrVa7ruTnIeNyNI0i49RrRp+6qfqqLWlwKEMOS55qQw5\nlcIt5uiANKPA7QuXQVj5nKyL0CjQRtC6dEZtAp0dcJRe9V39fj+Wym02m4iiCJ1OZ6rDtPJbaoQZ\nUmTtBGtsm81mLNWjhR8s3vHt99fr9bC9ve1YEve7VMVKii4XcZyKUYXtG6h0Clp9phi5HkjxVSoV\nZDIZV91HZ8ICE5sGUhzLSpV8O+MD4jtOKUaNTnSwttvtGDPXKKRUKnn3Ls5kMm4pg2L0ZUEsPv05\nTbPj0LeeUFl8t9v1RlmMNn373lKGW1tbzsiqs7TyUznqa5pmsVlj67M1tDMWH1Prvj2ou92u01M6\nH6acZ40uLe5Q075S4qppRJ1ft5k6Ow714p6+urdvtVpFNpt1MqSeMrWtuqARJrH47Og8MtUxqHv+\n+ggryQprH3wVr4pLcVKGW1tbLuqmvui9QhmDeQls6ghTc8bWYWonkM1RQNzg1wpXNzlutVrI5XJu\nXqbdbruO0AgzxPQWMbi8t82J+9J5vHROlsyHGzv7NnUm61VDy3y8jU4sHotpXozf7viAo7WR1iAl\nRdG6cTjxsdKV+PS9Yjw4OHBOSY29T0dDLH5efHYc6lpXi7Pb7bo0rDpJVrqqDPmz4qOzbLVa7vv1\nWWwLpWbnxWedid1JTO0Nn5XPrWTOypBXq9Vyuk1H0m6353aWaZrKT+eFQ4SA45DPplFlrVZDvV5H\nrVZDo9Fwr9xAnxvGMwuh0Zc6zGnpynmaJQRaTe7D12q1HCYl5PQVxGdf2+22m6umj+B3JEWYxOZ7\nTWpzO0xriEKDlJ0wHo9ja7d0d/nQtbu76xSYi23ZGb5017SoZFaBK/NTZuRj7qrIOt9FBdaLwuV7\nnbDudrvY3d11Cu2LToghpMQrfJMYLSnwYdQIk/OyxMgq19ClGHu9nkt3zUoKFiEGFiOdim8sMsXH\nCIqGyCc/fSU+dZa8RyjCTMIwLz6fQwnpaafTQRRFsTWw1WrVYQlde3t7E8RcHa86ziRM8xKDED4t\naLIpSwYNnJ+lLV1bW8P6+jo2Njawvr6OY8eOuVcuq1DS0263sbu7653DnBZ5LSLDJBtDX1GpVJyv\nYHDFcbi+vh7DyavZbLrPcCzS+c4yhzmvDOdymDbVpTtl+NgfJ5c5Z8m1TY1GA+vr6xMK3Gg0UK/X\nUSwW0e12Xdk/HaaNLkPFB4s0nzIrRp8xKpfLMSHXajVsbGyg0Wg4TPoaRZHLve/s7MRYbggj2yLp\n5n8J+ObBqMUClUoFURS5CIwY19fXHU59n8lk0Ov1XNk/DZPOEZ8t/fSlZDXtZXH2+32HL5/PO9Lq\nkyHfs+iHBpbMX5/B92zLwqj4LDH3yZB7SpP40JHwUvnxtVqtOlLebDZdFB6av7Q2ZxG8lvBYsmPt\nab/fd/ug6oYDjUYDGxsbOH78OI4dOxZ7zefzbu6XctRMg527XFYkbefYLenRSNP6Ci1qUl9x7Ngx\nd21sbLj3Ozs7bu0xl6iwIDEUWS7S5l6H6euMEKsG4OYTmB5humBjYyOWAiqXyzFWYAH7gFsDzL9p\nyT//bx58IYyhVLDOyZLZkhDo+YjFYtGxdLtEwZcCssZR2yLpvG9nfHpfmxFJSpVajGS1THFZjPyM\nT0c1KrH9vSwdVb23+HzRO6thVYZ0kL4xSBmG5n182PQivnmxheSnsvPNE3OZBReqq52hnvJMUha8\nqE2xfWu/V9Pf7FPFS0KYFqeN2n1E0m6oQMdBjNVq1U1/RVHyyU++ccFL5UxZLipH+ztfUx1dW1tz\n8jt27JjTU+oo+zukfyHZWRnqWJwF49xFPz52m1TowE7gIlIKemNjI3aAMI2RnfD1GV37THweK2RN\n2c6L01d44MPIiWqLcX193Rla4qMyj8djLykIDd6zRQgWxVev191c9L0Fn+++1uBaYkBnx423mQZS\nQ0Q50uAymrHEwDp5n44yRbYsHbVOxDcOZ5UhCYHFZ+U3i9NME4WpzGeRIb+HGImPpI7EnDJUUuCT\nme87rbGlDCnHtDL0ydNHdvh9ul0f5XfOOee4Q8yr1aqzodahhzD5nKfqqNr9RSK0WXTB5zAZLVtS\nx/X6+oy+cRBymuzbeWW40DpM29E+gVuHqczPVwodijBD64RCzNay3HlaiL3r79lC7H19fd0xIjqT\nYrHo1pn6sPkiaGXZyyAEafHRmVhCoAUy9xZ804idZb5JEaY9uZ06OhwOZ9LRaRFYGqfiwziNuIay\nBD4dJb4QrmnOMskBzIMtKdrT72J/2giTDlMr8InRpiRDeHwORvtEI520MkyKNNlIXFkEw5T68ePH\nY+OQqXN1mL7+C0WaJAScv05LCKbh1UadsqRVHab6CXWYaSNMJT3z+Im5U7I+RZpmbJUZqSJzZ3m9\nfNVbIZabxG6ZRuD/zdpmGaiqQDRGPodCxsdLN69OSufpM2t/q0NJSwjS4lPmp8aW6/juLfgUZxIp\nsCze5zAZndg1fFwwPUsWxD5LyHGmlWEo+rL4lLiqQ6GOqhxtWj2pAGaWCHNRfEkYbYRJh6kpPZ/8\nfEsNfHrjM7zqLLWvFyU++qpNI0xNyTLCZLGM2k+Oo6R+DKVlWbxmycAiY3GWz1o7U6/X3Vylb+MQ\nqydJZMc6Tkt4fP3ufcY0wJOcZijCtM5kY2MjuK5IjdA8KVlfGmEeZmSZ7Wg0mkhd2I5NSllWq9WJ\n3XB8c3yzpiwXNUaL4rPOhAPVrl28p/ApxiQjYfWUGG1KljL07TIyHo9nmdJwSwAAIABJREFUjjCn\n6ei8LWkM+pymxac6ShnadZrj8dgrOx+2ZePz9Zti86XWFSOXIdDO+HbB8c1h2u/0RZg0thqBqdOe\nB5u9fLYLOIrAdF0wx+Dx48dRLpe9mRxf1JUUcaoOKRlYJMJU+fucr6b41VeQ0DHCtNhIvH2OcpYI\n08rwrESYPiVOGqhJzHZjY8PbCVR8G2XOk+5a1OD6jJFvf0JiDKW7uADcOo9QOm9aUYwaIx85Odv4\nLCHQtYsaSd6T+Hz3DWEkvqQIs1KpTMiP6y1DETSxJkVfyyQ9inGWCFOnRqyOqiFJkp1Pn0LYlk16\nfN+jRTF2uYXNVCUVEiZFKNQh6rhvvMzbQs5TZQfEU7JqY8455xw3p67jxjqSkLNUbD5iqbqURo6K\n0f7eYrTBlaZkrU3wvbdYLV51mGlluPB5mDqQLMuZNoeln9X/tcbJOlAaI3YIy+l5Tx30y8A1L0bF\n6fubYlOMLETQwUt8g8Eg9ox0LncXPp/x9JGdexqfxZoW46wy9OHUqCWEUdNBaXDNitf37Ek6bB2K\njyzYeT9iVOauKb1F2jQ743tGX3bDN07t3xSfjTxnyVTMgylJF+1Y873a51biwIh7Wp8QG2XHJR9q\nQ5ltSBNh6vOGSEuS/dCfFZu+V5nZe1s/oRgV31mLMFXIszq5JAc3Go1cvp2dYA2uTWlag6uLYikk\njVTSNKvQIcORy+WckVCMoWosfT5fXzFVxP/14eM97m58ALwyHI/HLkVpB/O9AZ/vmXSwqIFk0wHG\nAgHVe1/fWWKnOqrr7BSjGqRZjVGI8IQcvI5RNusAfCTWGjjfmLZ9tb+/H/teGwHOKz9rZyw5sSlW\nxUlHMBxOHq5scVpbo8tOrK05ODhwRnYZOqq47PpIXwTMZ7EOnE3lbKcRkmSo45DPlcsdHjS9CCFI\n8guWsFiCohh9/UaMoWk9tctKWq3DpP2apaU6D9NnhCwDDXl6XcTKAhHexyqwz2mqcVNB6/6PZLhp\n2fusTNbHRtWhaDWW3ttntKfhU0VehPmlYeqKz6Y2iMem4e8pfBZnEoMN6amybqaKM5lMDGOIJCpG\n1XnFyD6i4U3bZsGoLB7wz9Mx/arYQmPbEgzeiwSK/8vxtwyHkkTI7Z6ovqhQx6DFaA2n3k8dsBKD\nUMpyXnzTAg19xpD86MAtYYqiaMJh+gIPG2H2+33nLDXFnxafj3SFxh4vHYOaufCRwyRSEIqi+/0+\nstmsqwbXbME0W5MqwpzVmehDA3Fnwg3VbcidxNqtoK0DVmeZRpGVZc/qLK1grMNUfMBkhEnB2YHK\n/rKKrIZ2XkWeB58lBEn4tK/vSXzE5ou+kjCGoqaQDG3/+Yy3JRjcuUXZ+yJzYKEoOnRplGKjEyUD\nlGHIkFuSqMZIK4cXdSbT7Iyvz61j0QiaGEOkJ8kBWwcVmu+fhsnisw7bzv37HIrPYTIC4/Pynr5i\nNVvwRH3gOOz1erExO2vgofhoyy0BZkZxGingM9kI0+pCJpPxFnRZfbARZr/fd/9LWd5jEaZ1JrM4\nuDRKzE7VCFNZw7IHq30u61AsRp1c1mexSjRrypL4+H/LjqBnjb6sM7m34bM4Z8GXVoYhXQ0ZIx+z\nXXQOc5rjVHyAP8L0OZIkJ2UjOV8V4iJj0Ce/kH3RPre2gRgtqQvd26ZkQw7YRiX8e5pMT8ihqDNR\nskNsttCL8uX9mGb0OctQ4EEdZR+knadN6l9flDktilbSY/vMV/2s36GyI3ElxmKxOLeezh1hUijT\nopQQE9UIk8AYSUwzRDbdZcNsphGUNaRJ6akBChlYn7EFJqMT4lPWlcSUkxSZ+BYpOJgVnyq1TXOR\n9Nyb8SlOy0p9DsCXCbFzVnr/kM6HSKJiLBQKMZxpWshRhoiQGl1rjELOJIkE26wDdYKR0jLkl2Rn\nLAmzKVTFSFKuz+KL8HxRmB3XvnXny07JzuNMdNqA9+W9xuNxMMpUbNaOcp3xIjpq9ZLPk9Zh0uaH\nHKbPaVoSrHOY9EHEuHSHmWSEfGkEn7G1YTE/a3PI05wwm03xsgOWkQ6aJSpJir4oGMXnM7o2GrPR\niSqzNbR3Bz6f0bD4fHMd9xQ+tnnwhQwjBxZlaI1HyOhajJpV8WFcJB0biiatswQmK1p13tESH8vm\nfYSA91QizMhk0WkR6yxthKLP4jOO2ueKw5I7n9NSGdqxvcwqWYsNwIRDUbJj59d1M/MoipxTYv/5\nyK9vHNq0etK67Hkw2j6nw7TEy6ejKj9Wl2umwEf2bebBJz+LcV4Zzh1h2hQCw36fkNkBCp7HunDn\nfWVEzCn7BKapD76yI/heL/3fRTGORqNY2seXqtE5AB4dReeuws3nDxf2h/DZaNiHzeJcFj6bFQCO\nUlt6nt29GR+ACUM0HA4njvsJRUh6IjwPtVUjlMvlXHWwz6DY9FkSzrTNx7J1HIbkSHyU397eHgA4\nhs370vD6iKc6a8VlI65lyM+S6VBxD521YuPJFfn84cEPBwcHMUMb0k0brbPZ/lgUo/a1/uzTU5Uh\nxyD1c3d3F6PRCOVyeSLwoF7bCEoJUejS/kiDTXVUdcvu45uko61WC3t7e25tpgZE/B47p2y/32Ze\nfDjnaXM5TGuIVJF9E+/sBFXoXq/nzp1TZ8mBz7yyTXsAk85Sr2UoshV0iBT4HKY9SJsOxd5Pz/ac\nFgkv08guik8JgZ5yf2/CtyhGHaw0SCQFNG6c3wEwYUBDhmeZhI4Yk8ahzxjpHA6x8cgvji/ekwvh\nQ/Ob0xzmomNR8ZGARVE0ccqIysDqZ7PZdLsYURfVSRWLRS8RCDnLECng39PiY9O+9+mp6qhi5NnB\n1jHSUdlIymYPkpyltnnlyPtPw6ffo2NQCUE+n/c6y2w2i/39fS9xtY7S9946zVkwpo4wGZUASIww\nrcOkMeJhvWqE2CnTIsxpznKRZo0R72eF7EshMNWsDkUHPjFmMplY0Ycqs6+dzejE4vOlSDQNawnB\nvQ3fLBitDG2qWUkB+8TqaRRFM0WY+rfQ+3mxTRuHPmMbijD5rIqR+CzhCRkZ/p+S3GXpqH63b32k\nj7AywiyXy45QKDkPFXv4ohLFqbq8yBytfhdfR6PRhEPR57A41aHwb+oQqRO+KQ773UnRZtpGZ8n7\nsM9CvsJHCChDJT28J2WpvsLi8znKEN5ZWyqHqakEABOMyDpMdSbsDD3Kixuvl0ol7zqnUNo1ibnP\nqsi2s7RTdcDawoJZHIpGztzcmnNG0+ZBZsF4NvBNizDV4N4b8PkwhgxuiLn7jC4HrM6LEKMup5mW\nsgxh1b/N2+bBZ9NdnBZpt9vu1AeOZ4tvWipPMSwrurT49GdG0NRf/W7qp2YHiM86S26aYp9PyYgv\nSzCLPUrCpP2l+qdpf18EplkC2ph2u+1O7tDvUF3NZDLewp2z4Sh9n6GMVFaWEPh0VFOy9BPqLKkL\nrAfwFXlOc5SWEM3aUkeY9uGTIjAbYdJB6iAtlUoTlUtpDW4aozsLxtC8gi9lSXyKkUUk7JNZ2Pgi\nZGAZ+KxBurfjA+JTB8SoDkUNLjBZmKMY+RkSOlsIlJSSDeFcNJKedRzalKw1RlowwekQjkOd3/Y5\nTYvLpmTTRplq0CxWG2H6Ii86E/1fdZb9fj+WvrTRsy/C9GFclBDod2pLmmu3ERgx6rOTwJZKJWSz\n2URnYh3LNKc5L4lVPeH9fFkQi48RNE/OIaGwhIDkJxRBJ0WZScQ2qc1VJWsVeTQ6XP9j5xamGSMO\nbHWWrIZKE2EuY15BcVpDO82h2AhTS7ktxoODw+3ykqq0rPMIEYG0g3VWfNYg/XPANy9GwD9tQIwk\ndzzpg4QOwITR1e/j+xDOZZAefW8dig8j5zC73e5Eqpn4KEOOb+tUbFSg48/KOy1Gi4338s1hUj81\nwqTsaIsoR55ryggzVPRjST+/h1iXQcyt0ebPSUU/jDDpUJT82SyBVrAnOZSQ0+T/Kf55ms8J01ck\nzbMrIdDlL9RxJa+22tVGoSGnaTHOE2kutHGBKpim5uzZelR6GiRNA7Ej9H7NZhOtVgudTge9Xs+x\nCCtw+72hcuy0+PR3Nv2oGMnymFLo9Xru+axi8F7NZhPtdhvdbtexXlvlRebP7/StOZsX4zLwdbvd\ney2+aRgtPh5Km8/nJzBqBEa8Gq1ST4lRU30Wo5736pujmhWjNUD6O4tPD931yVDlbsdOoVDA3t6e\nV4Y6Dm3RXmgMzitDdZTAocHW6RvKjk6QNRHAkWPpdruODGi/8xmbzaZXT5UI+WyNYkyLT+WmeqD6\nohipo5lMJmZn+Fz6yufN5/NotVoxfBqRsZ9t1KbFYz7yMCs2vqqz0n6kfeFJVlaG/X4f7Xbb+Qo7\nHjOZjJuvpq/QoIu6o8SQGJMcd1KbOyVLJWLzOS5VZDoy7QQ2rRLT1Gar1cLOzg6azSY6nY5TZO0A\nNbY8RV0Ph1UWOo8x8qVo+Kza4cTHhb6cT6Iij8fjCSEQYy6Xc/ja7fYEKbAkhEbPh29eZ7ksfJTD\nvQmfYvQ5FZt6rFQqqFar6Pf7jhhYGWqkzWhmOBwin89je3sbe3t7zmlysLLgwhoiGr6keZx5cFIG\n2qd2DFarVbf+k+OQkeZ4HD/zEjiK2AqFAra3t7G7u+tkOBgMJopLbJ+qMUqLT/9X39tomMd41et1\n18eKkQ7FpnKJsd1uY2trC7u7u2g2mxNOhd+vUarV0TR2xmJV52IdCmXY7XadM4uiyJECJT3WueXz\neYfNOk3qOr8zSUcXdZqK00bCeig9yRBtDWXI/tfsJccji9foNC15BSbP9F1kHKaKMPU9B52dj6Sg\nlZlTyDQ61hBpWiXJYapi6Xf6opS0ERg7OpQ7p8HViFmFzOPGgPg8IHeOobH1GSN+t/0+y5TvKXz6\nem/DR4xK7PjsSupocOkwaRgAuHlYnwypp/l8HltbW26whhxKiBQsYozs/xKvGlrrMDkOgSPiyuIe\n9rNiDBGCEHO3MvRFYfM2zRAAR6ROsdFhaoRF/WSjsQXiRYjdbhdbW1vY2dlxBtdGmTo2NGsWSpum\nbT6HoqSOaXTNFPT7fQyHw5gM+RysSA05zGKx6L5Xv4/OhDgXydYpLjadPlB8tVotFkly/NE/6Fyt\npse73W4Mo40yFaOOC5XlPKQntcNUo+QbOJVKBZVKJZb7pqMEgMFgEGPsOkfW7/cnHCYZg2W27PhQ\nhJlWyPreGluNoDVippBpaHVuhxjJ7nZ2dmIpr5Cx1e+zqYRlMb9F8FkZ3hvwEZcOLp9D4WDlTiL8\nP865A3DpKzpK6ikx7u7uOmPLgarM1vZpiNkugo/P7ovAiE+NDMmOTXkqxlwuh93dXYdPI2ifDJW0\n2nTXIuk8xWojEz0IW8k0gNgSNRpglS3nchlF09aQ7Gpq3WZfQmsJk3DaeW6fLEPjYm1tzWV1+FmO\nOUaZek/+zWZ6bATNLFjSOJxVR5PwWYxWTxlhKsmlraEMlTzpeOz1etjb23Py800BLQsjkHIvWfuz\nTcmqQlM4WszDDrCRJavcBoOBm18IRZhkW6EIc9F5TL6GBo06FGKzr9bY6nZye3t7sQgsKWVp012L\nRNBp8fkwWpne2/DZn236kIOVjkC3zdIr5DC5cDwpZekbqJbZpkmt+95bEqkOk2RGC5xUJhZfPp93\nhsjis4ZomgzTOk17JaVkiUX1kdEXIzItmqFh3d3djRncpAiTZMAa2kVJj763hS2UYa/Xmxhvdv0h\nEN+qkKQnyWHq2KeOhkjPIlH0tAh6FhkCkxvP93o9R+pUT5X0+FKyWjcxD8a5I0yC1+YzflRoRowE\nyd3iKVgOXN0lZ39/3y0cnzaH6XOYiwja50wUo01ZUkCc8yIWVUzFyPRfu91216wpy2Wz91nxUV50\nIBafEp57Gp8PJ5saPTuHqfLjHKY+Nx0J/9di9KUsfXOY1uAuK0tAfKGULPGpDDnWQpXsHH/EZ4vv\nmAXQAg5bNLLItAENrDoTxccIk5Eh9Y8YB4OBy/LYyLLdbmN/fx+tVssZ2ySHqRhtFmRRh6K66pvj\no8MkPmKiPvJZLbEjqbPFWzpH6yN1vgKp/5+9Nw+TrCrTxN+IuLHvuRRrUVSxFsoqCoKsVYAICIxD\ni3Tb3U43rfajtAM6OqC2S1PsCu4bKu2ooz50/2bUFhChEWgEtBFBZRFKLKmiqrJyi8iIjIzMiN8f\nyXvyu1+cc2MtQCaP3iduFpk37nve73zb+c45Wua65ZLNhS+bzVo5pO4B0JKto4Oui0Qlhy6MxPaC\nzmHyZ1snUBlRMcu5L5na0R1AAZDRJuc7pWHWxpIDdRApWTaZBrAVVDACC4VCBoOsYJMRpk5ZUiFL\nZ8BWQKUrOQcxx9cLPg5QflarVfPetoH6YuOzGRQ5F6UjMHLIASo5lHJK+Y1Go8bBk2k8OR60QzAo\njDoq4b0twsxkMia9zHeXjh2Vis6EeJ5nxqCcEpEc2vDpOoJ+HAJtOKXhknOYdGAop3xXqWf0BiqU\nX/JHDnVUqWXVlpLVc639NFsExiyInJ/lJw2oTGWSRzp1xMhsiexP7WSxolpX3XbDn454JaeSR4mv\nUqkYWSGH1JkyJavrJRhc2aYMgnSNrLiV0z/tWtcGU0Yl8mctzByo8kVkOojFQrrqSebWY7GYmQeK\nx+NoNBooFApI59K4NX0rZmZnEHo2hL9N/y3esOINeKL0BP7+1r/H6txqhEIhvO2Vb8ObDnxTzwZF\nkq0nqxmZLCwsGA9Mp5hdBRVSgcfjcYMxkUigUCggn88jlU3he/PfQ3lLGdgGvOuQd+GUVadgsj6J\nS++5FKV6CQDwxdd/Eavyq3YqPlkwIZ0bye2g8F1878UYq40hFAphU2kTXrPba3DjG27sCZt8N8C/\ntISDNZvNmneW0Yg8UUenhIgTgDHAxJhMJlEoFJDL5ZDKpvDd+e+ivHkR40WHXoRT9z4Vvy//Hu+/\n9/0Ih8PYt7gvPnfa53pWuloh2YwKx5vmT+KTHHIdJscoxyFTWi34FIdPlp7EB3/2QUTDUexT3Ac3\nnHID4pF4T/zJOVYALco2m82iXq/7MJC/SCTSUlwoHVg+LxZb3P+Y/C0sLGBoaAi5Qg53ZO/A9Ow0\n4s/G8cHRD2LXxK74Y/WP+MC/fwCRcARrh9fiE+s+0ZNzLt+J8gfAN16IURsN8mjjT+pYYkwkEj6M\nw8PDSzymU/jK9q9gbNsYol4Ul7/2cqwdWWsMyYf/48M4YOgA/PXBf901Nr6T/Hc6BdJWUBbJlQww\n9FiWOpbPZn+FQotrWefn51EsFpHNZ/Hj1I8xXZ5GfGMcHx35KEa9UTw2+Rg+cv9HEAlHEI/E8blT\nPodds7u2xdVTSlYbTQ5UqWzpIWig9Xod0WjUdJxL4VJoPM8zHR8KhVAoFLCpsAmFWAHvW/k+JIoJ\nvOvRd+Hcg87FE5ufwIWvuBDvPOydxrsYRAUbMco8uNzVRipbeu5yfoNN4uPzqACIn0L8ZOJJFBNF\nfGztx5AoJHDB3RfgjP3OwNUPXI0/O+DPcM7+5+C+LffhsfHHsLq4eqfh42DWgqrnbzR/veL7/PrP\nw/M8lOfLOPf/OxdXnnjlwIyJdAqSyWTL2klZSMHUZCcYaUz4nGKxiHw+j98lf4eh+BA+ftDHkSwm\n8Za73oIz9z8TNzx8Ay559SU4dc2peMdt78Btv78Np+9zele4dEpdOq4yOrHNU8qzOWWEK/tAOj18\nJschnZ4nEk9gKD7k4/DM/c/E/7z1f2LDcRtw1B5H4coHrsSNv7oR7zryXT3hY9PGJB6PI5VKmQwU\nf0fOU+qxT/4khzQ4kj8AGB4extjQGOKxOD6+98exObYZX376y/jqvl/Flf9xJS496lK8buXr8P67\n349bfn8LzjnwnI7x8V20UeG9dHq0Uyf1qByH0qFj5CWfxwwcs17FYtGMxSdCTyDqRfHPx/4zHp99\nHJ94+BP42mlfw3htHBfdeRE2Tm3EgcMH9uwQSKNJvc+oT9ZJyDEmU+hSHnUmBIBzHA4NDWF7cTti\n0RguX3M5Nsc24/OPfx43rbkJH3vgY7jiuCvwytFX4hu/+QY+/dCnseGEDW0x9WQwCZxNerZ6xxcJ\nsl6v46nsU3g29SzmMY+5zBxWPrMSK8dXmt+rNWq4b819CCGExf+HsNvsbjhs+jB4nodCoYCVmZUo\nDhWRyWQQSUQQDS8K128mfoON0xvxkz/+BGuKa3DF8VcgH833CtHXpEHhLhO2uYNarYaxPcewJbMF\njUgDtVQNq/64CqsmVi15t+EF3LPXPQYfQsBus7vh8OnDjTI6tnAshoaHFucU4lHEIotzX7/Y9gsc\nsssh+K//979iVX4Vrjn5moE7BBqfHqRje45hc3ozmpEmaunB4IuGo2YNVjgcxtX3XY13HPGOjry+\nThqVsMSYTqd9HMpBujG/EVvWbkEz0lyU0z+sxF7je5m+aEQauGfVPT453bW6Kw6dOtSHcXhkGKlU\nCl7cQzTyvJKIpjBVn0I4HEa5XkYsEttpEaacFpBzlNv32I4tB2xBI9xY5HDTKqwcX2n6YSG8gHv3\nvnfRmD6PcffZ3XF46XDk83nkcjm8rvA6DI8MI51OI5KIGBndUtmCo/c8GpFIBEfvcTRueuQmvPvV\n7+4Zl2w6wtQpV6bSn9v1OTy75lnUUcdcepG/Pcf2NPy10zNDQ0PYP78/Th8+HdlsFpOzkygmi4jH\n4/j1jl/j+FXHIxKJ4NTVp+LOP9yJc9ee2xU2HfWSP8AfYabTad+GEVJGZ2dnMbFqAlMrptD0mqil\nali9eTVWT61eqvIOL+Du1XcvPl+MxX1D+xqDecLoCTh35FzE43FsmdiCQqKwmJKv1vCBoz6AO/5w\nh3k/7ch0gpGpfFl5LCNM7bTSGP4u8zs8u88Sh3tt2gsrd6w0smxk9HlcALBbdTccMnkIIpEIhoaG\ncEDuAJw+cjrS6TTGa+MoJAqIRqP40mlfwm6Z3RanYpoLSHrJnZOStTXp2dIrApYO/JQkR0IRNGIN\nHHj/gahn63js8Mewcnyl6Vhv3sMJG0/wVTFFo1HE8ouDsVAooJgvopgrIhQP4SO/+Qjee8R7EY/H\n8erdX423Hfo2HLriUHzy55/ENQ9egw0nBnsNnZBPLNJ7p1cLwKeMuENMI9rA2l+sxXxuHr8+9NfY\na3yvpYX9IQ8nbzrZN58VjUYRLUSNEA/nhzGcH0Yz1sTFP7sYlx59KWKxGDaVNmE4NYzvn/d9XP2z\nq3H9g9fjg6/74AuCj4M0Elnk8KBfHIR6to7fHPabvvBdcv8luOy1l5nU31h1DHf/8W5cu+7ajgxJ\npxh1BCYLWPT8VsSLoBlr4oAHD0A9W8fjRzzuwxidj+LkP5xssiAGYzFqDOZwfhgj+ZFFDu+7GB88\n5oOIxWJ456veiXNuPgfXPXgdCokCTlh1gqka79T5kWlmjY8GUzo8LfjCSzJaz9bxm0N/gz137LnE\nYd3DSc+cZMag+SzEDL6h/BCGc0syetkxlyEej2N1fjUe2PoAjtvrONy68VZU5is7xSHgsrVwOOzD\nV6lUEGlGsOAtYJ9798FCfgFPHvkk9ti+h4kwI/MRnLDxBF/laywWQ7S4+OyhoaHFKCxfwGf++Bnc\nu+NefGn9l8z6Ra7tzCVyKNVLXePTUbSch9RRtDQmUs/wHRa8BRz88MGYy87h0YMfxcodK833RKNR\nnLr51BYeC4WCGYuZTAaZVAaXPXgZbtt0G752+tfgeR7WDK3BPqF9cMemO4CQf8vCdjzpf5OZKp2S\npcOgCyQ9eGhE/bZij+17mIjTg4fjnz6+1VYUF7kcGhpCPp9HPpfHpzd9GvfuuBdfXP9FRKNR7BHd\nA6FQCA9seQA3PnIjbvmzW154g0mvSHaK9myjC1HkK/nFlGndQyO8FKo3Gg3UmjX8x97/YVJh4UgY\nezf3xjpvnZk/yefzmI3N4h9/+4946wFvxXlrz0M8HsfZB5yNQqKAUCiEsw84G++7430Dm5CX0Ymc\n/wiFQr7Bmkgk4DU8ZGeyixjnFjH65k8iC7h75d0IR5b2OVyDNVgfW79IcD6PbDaLcqSMix+4GBce\neiHecvBbEAqFMJQcwhsPeCM8z8MZ+52Bj9790YFg7BRftVqF1/CQm8n5OBwUPgD4wa9/gPNfcb4p\n5BhU03OYclpAOgSVSgVe00OmnFmU6/mowWgiTK+Be/a6Z0lOw2Gsxmqsi64zishg/NnFuPCwC3HB\nIRcAAP7ulr/DT/78J1g7uhZf/M8v4gN3fgA3nHZDT1i1s6DHIaMCjr/Z2dnFHXGaSzIamYuYcSg5\nvHfVvYiEI2YckkOJb8abWcJ38AUIhUL40hlfwvt+8j5cff/VOHblsZiem+7JoNiajL6knmFkyR1x\nInMRZGeyi3NaszE0Iksy6tMzkbDBuCa0BqfET0EqlTIGJZ/P4/JVl2M+Po/zbjsPpxx4inmHUCiE\nynzF6JxeuZM8BXHIcUgOaTAz5QxCoRDis3E0wg2fsxuKhfDTPX7qw7lfdD+cO3Su4TGdTiOZTOLT\n6z6NGcxg3f9ehwf/6kEkveTiM0IhhEOdT21J7uT72xwCGlLON8tKZq/uIVfJGRldCC9NLQDAHObw\ny/1+afRMJBzB3tgb66PrkUwmTdo5m83iYys/hvn4PM7/yfk4Zf9TkIwmcfNjN+PaB67Fzf/lZoyk\nRzrCNrCULBWRTn21KKKah/D886e6R/wd22g0EK6HcdzTxy16PZmMqYTjfT6fx0JyAR9+4sP40Ks+\nhPX7rDdVsud97zxcu+5aHLnbkfjppp/iVbu9qi9j4vJu5UANh8O+Ey7i8Ti8uofwwvPHL4Va10h5\ndQ/r/riuBRvXlOXzedTjdbz3l+/F5cdcjtPXnm4822NXHosf//7HuOCVF+DeZ+/FK1a8YuDe+4uJ\nr9ls4q5Nd+HSYy81xVT9NBvGWGzxSCSNkUdDJRIJeHUPkYXFeXD5KtlLAAAgAElEQVSI7jVFBvUo\nTt50MtLptMHGeyraeryOSx66BBtetwFvWPsGg7E6X0UxXUQkEsHu2d3xs80/2ykcyrkdeRYt8ZFD\n7bQ2m01EQ1Gc9MxJhj95SXwXP3QxNhy7iI8K/rbf34b/9V/+F4qJIt5z63tw6j6ndoVPz9HSUQHg\n40/qGe47ao4tW4gg1PQraunUeXUPx288HtlsdunKLN3ncjncX70f09un8Q8r/wGIA17YQzKRxOG7\nHo77ttyHE1adgB///sc4ee+Te+JP1mbIT8oli1g0hzMzM6ZaNxKOLKYkzUPhS+EmG0mcMXaGwURH\nh/e5XA53jt+JqR1T+MCxH1h0jkJhxKIx/3KSUPfLSrThlNwywiSn0Wi09XjE5qKtCIfDRs8QV6PR\nQGg+hKMfP9pgIi55/+DcgyhtL+Fde7wLoUTIYPve49/DjQ/fiFvfcisK8ULHWaqBRJhsTOux4KbR\naPjKyxmx0FtpojWtJJss1JBrZr7z3HcwszCDLz72Rdz45I2IeBH84Pwf4DOnfQb/8ON/QDQcxa7p\nXfHZ13+2Zyy6AznwNEaNLxwOAxpOs3WSX+KTyxCI8RubvoHyfBmf/tWn8fnffB7hSBg/OP8HuGb9\nNXj7D9+OLz30JRTiBdz0xpteNvh+eP4PEffieGLHE1hTXNPxfEkvGPXyCFkkRqXRgtPybJeMep6H\nr2/6OsrzZXzq4U/hc7/+HLyIhx9e8EN8+awv4803vxnxSBxxL44vvOELOw2fvkwRE//HOUrYFVwQ\nvm/84Rso11vxHTByAE775mmIRWJ4ze6vwVsPfmtP+PgeWj/od2o0Gi34zPy5eZC972z4mN5bV1iH\na568Bn/xk79AM9TENeuvQSqWwnWnXoe/+8HfYW5hDmtH1uJNa9/UFy6dnrVxaBuH0pBJfSodHxtG\nmb70PA+v3+v1+MhDH8FZ/3IWGmjg2vXXIhFNLBl0hPx92SM+tiBdo5d5UEY1n9IA85n8O8nhSYWT\n8ImNn8Bf3/XXaIaauPqkqxGPxvHe29+LvfJ74S3/+hYAwOtWvg6XHnNpW1yhIIW0detW53+Uf8fK\nNOafeT83N4cdO3ZgbGzMXNu3b8eOHTtQKpV8giHv5XZJ/OS99Iykt5RIJKzvplsikfAxv23bNusv\n62cwHaIxVioVg0teY2NjLXt1SuMhsclPpiz1lU6nW4TE9p6xWOz/KXwAMDY21jVG+VmpVLB9+3Zs\n27atBafEKC+JUeIjRqb05KUx2vACgOd5Pozbt2/vG5/kkPfkUEZhvI9Go/7oS1zEpz97xTc9Pd2C\nTytYIFjPbN26Fc8995z55P3U1FTLukJ+cocZ26WjFf4sMyEuHgAgEon4MNpk1IZRYpOXllEpq0Ec\ncnwxsyOnRGz4kslkRxym0+me8MkqdI1TyqUcg9PT0y3YeJ9KpXz45GcQh9q5l/cujIAv2fTyaYOc\n91pu/++0ZblZbsttuQW1wAhzuS235bbclttyW26L7WUZYS635bbclttyW26DbssGc7ktt+W23Jbb\ncuugLRvM5bbclttyW27LrYO2bDCX23JbbsttuS23DlrgOswdO3b0Xe69bds2c23duhVbt27Ftm3b\nTKmwLtcPhULmfDS9yDabzZoDQHkEFS/uQ2q7ZFuxYkVgObQsWZb/Ziv1Zrm3xCU/edKHvliyb1uS\nkEqlkEqlzPFaEq9cFykv+a4aX6cc9oOP68L4GY1GfQvds9msWdzfCT651k/jGx0dbSllLZfL1so1\nXfUahFEvJ7GV7MuNyj3PMxsV2C7bgv9UKuVbeyb7TL5rNpv1vXgv+Gq1mm+rOF2yz2Ve3PNZ78bi\neZ45/oyc8Wddps/7dDptlXc9BjOZjO/FK5WKdQzKe+50w/MS5fmrtVrNx5lceqGXr0k9I48hJE7e\nu5abJJNJqzzojQuSyWQgh0F6RuIizpmZGTMO9cV1qHrZDA8Z0OMtlUohl8v5lgTJpU9SFrRcuPBV\nq9W+OZQ2Ql7T09Mta8J5L+2Axil3a5Kf3BCiHcZ4PP6nsaxkuXL35dW64XN5acdye6Hasp5Zbt22\nvnb60VtXybPmeMCnvHhyAi9uzi5bKBTynf4hDwrlcTbymJqdJfR6dwqJUR+YTGzy4u/Zmuwn+Rw+\nSz5vZw9qG4fd4tPesg2ffJYL36CNpdwFhD/bMGoZ1RjNTipi71kXPt1fnchor7htMirHl34/G4fy\nqDLJo2sca4xSDl4IA0QO2+kZiU9Hf+TRpa9sHMrjt9hHtl2IesETpGeCxo7kmnqT3GkOg8ahC9/O\nau04tOHTx7JpHaPxeZ7nfF4/racDpPXP3DSX+wDyhO9qtYqJiQlMTk5ienoa5XLZdwK4bacfOWjl\nYb7cX5BpILNjvdiT0NW6IV9v6SQx8j24J2e1WkWpVGrBWKlUMDs7a95Rp4J4xqc+faBSqRh8dCh4\n4KsrhWBLJXSCUf/cKb6ZmRkfPtcuOBz0ci9hyZ8NH7nqF58LrwtjuVzGxMQEpqamfBxWq1VfSla+\nYyQS8cmn3KuVZ/gBSwdMt3N++jGabJQnia1SqRh8WkYrlYrBp98lHA77jlqS+HjWotxEW56MMijD\naXPE5ufnzb7GlUrFyKPEVyqVfBzqnah4Lw2J3O86mUyaY8O4Y048Hje/TwMcDnd3wkwnrdFo+PZu\nJj6OQy2js7OzZizpqSgaDbmheSKRQCKRMKl4eXrP3NycSVdK51BPGXTT2nFIfJVKBePj4y22YnZ2\n1pyXaZtuk6ebyM33uWMRx6o8tpC7d0mZkO8Y1PqOMAG/IuIGyAQsO6FUKrUYTEkIP/X5fXwuD/3l\n4OTBqC4vvldla3sWBxWNSLlcRqlUwvT0dAvR2mDa5r+ksp2dnTWCzFPEOVATiYQvyhm0QZEcEh+x\nlctlTE9POweqdgh4L08ekJspB+GT/dMPdy7+ms2mk0PtFEg59Z38IN4nEom0GJN4PG4GJX+HRzTJ\n59ieNwiMchyWy+UWfJJD4pPn1srnhsNh3ylDxEfjSGMpz2wM2kptEEZFOmA0IuSLY3BqaqrFYNrm\nG0OhkKm1qNVqiMfjqFQqRrFKZSvPbZSODw3LIDHKcSP5m5qaMjJKfORQGky9By3lk8eXcdN2zSEP\n46YxkXJg9pQdMIczMzOBHEpbIXHpegnyV61WDU5ulSpPfkmn0z4OpaHsFFtfESbv2QmMIqanp83l\nGqg2g8mLoTQHP0nmGYY0OvIQYP1utknnfrBqZTQ1NYWpqSlMTk4aknUE5ioYoTKiVyTP4+PfMPLK\nZDItBsVmLPXg7ZZD2d80lMSlByr50+k8XvT85EBth09jkdx1myHQ9zbHTnIoudROgTYo8r2ojGZn\nZ82GzzzxnZFlOp02ToIt+uqWQ5czIPHJcUgOJT6pjGjodH9JfOasyOcxAjBRF/G5IsxBRl/S6aHB\n5PiT45D4iFHLp8z0mGMHxbmtPJdVcjg7O2uULXHxGpQxkVkZzeHExIRPl0o9w/HjKjDU+JgBkoYk\nm80agylPKelGr3SKUUaYxEeMegxKg2nDKAsFNYcyspQcaozyLNJ2rSuD6docWw5UdgLBS2NSKpV8\nneAyAHK+UncIAKsycrV+U5YuZcvIcmJiwpCuPVtpUOS7UBnZqkIpyMlkEtls1qS/2hlL+dkJtk6M\niRykQRGm7udwePEoIl3t2gu+TvgLMiJSgbs45CC1pfNkRKENSq1Ws1b1AkAsFjPViDQoQe8bxKFL\nYbnGISN6OQ6lE6sjTGnoZDSh8fEzHA6byLlarfqyPjvTaOp0Hg2mjEw0h5VKxemYU+HqNCZ1DTFm\ns1nUajVjMOXf92pMXEbWxaErgtaZHhc+/RkOh40hyeVyqFarxmCyyecMqtmyBJOTk9ixY4exF90E\nVxKTvKfRTCaTBmOQ0yMxB7W+z8PUc5hMI0xOTmJsbMwIsPRsZarEdtk8JYbhMrKkMhpkStZlUGQ6\nr1wum4E6Pj5u0iY2QeZ76HdypRhCoRASiYQ5d7BerztTsoPA6MI3NTWF8fFx7NixwxgXpvk0PhtG\nW4qoW3y9KlqNrxMOiU1OJ0iDaTMoNv74SYegUqm0GEzdesFpk1OX00N8Mg3NcSgNpoyCOeVBAykV\nbSQSMc6AxGebG+8Ho2yMdGQ6j44q9YzUNTol63Jc9XQQ8dFYUk6lsnVFXv3IK//WFmFyHGqnh/hk\n8Z3GGKRL6Qzk8/kWg8nIqx+nQDf2GZ0epmQnJiZaOLRN3/EZEp8Lo+d5xlhms1kzH2ozmN1g7Ckl\nq+cqXBEmjQmVkVREtVqtBXg779rlFWllpJ8zCINCjCyioCCPjY2Z9A8vm0HRzRUdRiIRM0ir1epA\nIjAXxqDoSxrMTvC5lEc/+Ph3/eJrx+GOHTtMNMJCBA5UHYFJo+Ligkd/FYtFn4x2G1kGYdOfehzK\n6IT4NIeMMOWhvLr62VaUF4vFkMvlfPh0Pw2qyX5hhKmjE+m0Sj1DOeVzbDJlM/I8+ovGZGZmxhSe\ncO7PVlk6iKaDD8mhnJd2ZXps/Wcbi1wLTnyzs7OGR8n7IPBpDmWESaeHRz5Kp1VmI9s926VnuN6U\nxXhMydIh6BZf1ylZPbiazWZLFR0H5fT0tC9lA8BEiHrxtrzYqbrUW5bp6wNSbUay1+hLf0ej0TBz\nVbK6iwJMInQxCwCrZwfAV6GnS/9l30ostsKYbpvmjvdcPCw57AUf0zcak6tMf9D42mEM4pCGLRRa\nKvaIxWJOY67L2m3l8INWqMRnwygrPTkGqYSoEG34ALtilUsz9KfEapvC6KfJZSrSKdDYZOGdrk4m\nPlcWgIVp7Za/2Rwvm3PYj56Rz7bxx4sc6gpzGnk9DkOhUMvYk/gkf0HXIDlkhbqNQ9oKWcFLDl0X\nI1a9vETi01c/UwcdG0w5SPXAkYpIluwzXUNFS+UTjUbRbDZ9J2PLwoL5+fmW5SmMRmy5eJvCleA7\nFWaNUeJ04ZNpOxLMyWbbZHQ0GkU4HPZhk596TkUPgH6qSaWS1UrexaGMQjQ+zhVIHqPRKEKhkBVb\ntVrtCl8vTk8nGLVckUMqIlkwIOe15CcxyovP19hcGHrlkNGkllGJR5fsy+iIMiiLW2y7RxGPlI1a\nrdbCmXwv+Z4SZzccutbf6UyHdHhkpokyKPWMltFYLOar4payTz1j0zEST6+ZLK1H5b3OdMiMgByH\n5I7j0aZngmTUhq9d60XPaJyaO/mzTHmzXkVzqC+md/UlbYWWVb5jLxi7ijBlB9jWMFHgJOEcSByo\nLIrgPA+XU8jt7mq1mm8uYnp6eumFFdFaKfWbzpP4gjDKi99FRcl1oazQkjgTiQTC4bDPc+Q2gQsL\nC10bk24bla32qoMcAjYqWUYlXEYhr2QyafDJOaVQKORcS+XisdcWhFEaTY1RpqKIkRxqrJJDWf6/\nsLDgcwr6UayupmVU4nMZTfndxEZ8XC4icYZCoZZ5z3A4bGQ0yBHop0ljovERi1a45XLZlyanMmUm\nS8soL+oZyR+bzbEbJJdBGG1OQaVSMUqehlLrGZuMag7L5bJPRtuNuV7HI9PnOnK34eMlpwKkrSCH\nNn1Tq9VaMPJdJYcSZz9ZkK5TsjLs5aJRmyGhcMtiHWnsWOWq999Mp9OoVqsYHx83e8QCMJ3OjrR1\nhCsy6SVCaYdRKlvXHq8sGtD4IpGImTtj1M2o2rbPqMsp6NdgEpvedEJHmEH4NLZMJoNIJIIdO3Zg\nfHwc8XjcOAM6gralkF7KGOUViUTMPP3ExIQxJrVaLdAR0K0XfFo+uZ5Qy6Y0LrZqXuKzYQyHwwbf\n+Pi4wccI2oZrUHOYco2y3J9aG0l5aR3DKxaL+XBJrNVq1WBkRMZ+lXpGRyi9ZrDYqGMkf8SqI0t5\n6VUDvGdxi01GKZ+UUabubTq0n6azCxqfjUOdJWjHoU1OJYfUpeTQlSHop/U0hykVkdxA1xZh0vuh\nZ0svIZlMOjc45iYFFGIaE51KsA3cQRtLCrPNKaCylXOy0guSG8fn83nz6XmLG3drfKVSqSuD0is+\niVFu1m3LEnAdrIy8JD6Ji5+swJPOwOzsLEqlUksZuI6g+xXudhilnMqLHjkxkscgDrdt22ZSY8RY\nLpdNZaktFcTWq8KVKVmJTcuoVLyVSsXgk9GXC18ul4Pnedi6davBx5QvI80gbEFYO2lSx8jNuYNS\nsuRL45ObxcvDHFg5mUwmTQpaRumulKxr7PWaybJhtBlNcshxI7NXLG6Rh1SQw3Q6bcYvHTppfIPG\nXD8Ghvj0ButBESada8khq5Vt+GgrUqmUmWagU6eDD9ZWuFqnOqcngykHq1ZCOgpj/pkdQYJZRcir\nUCiYe+5OD8AYE6b3tLJl2itobq9bhaQNpp7H0QZTzu3JcnSJb2hoyHzSa9L4otGoNWVJLK6imH7w\nyQ0UXFG0nCuRmQEbNuKj8Et82tlpl5LtBV8vGKvVqm9OT8ppoVBowTc0NGTW6cnouVwut3AYVMjU\nq8KlQ6Bl1MadzPQQH9eISg41j5znIz7JoZbLoHfvlkOpY/SWZ7a5PV7UMwB863xZJWm7SqWS+RvN\nYbuUbL9GU0bRGqMt9SzHIT9lJa/WocVi0YxDGVnOzMxgcnKy6wizGydWjz8WE8piH9s8ZrPZNHpf\nRs6syNb4bBxKXdpuasSFM6j1XPQjq1ddXm61WjWTtlLZsgOofIaHh3333JCAHm0qlUI8HrdGJjaQ\n/XhGrpSs9JJ0EQT3QmUFMIWYePQVjUZN+oXrkOg92jy+QaQS2uGzRWEufJlMpgXfyMhIID7yt7Px\nBWHUPEqMrPrtBOPIyIivOI1rOulUuIoMggpjusWnp0Zs3MlLbhXGcUgFJLnjvcZHDl0pLl312Q9G\nm9PqygzQyGg9Q/60IyD1zuTkpEll05DIYwI7nVPvNSVLDjVGW/AhOZR6hg6dTZfykAouM6KM2sah\nTKv3w538WxeHGleQrSCHEpfEKTksl8smsxVUE9HPtEFfe8nqF9AvIYt96LHn83kMDw+jWCwin8+b\nMy4pqLZya1vFnBQ4Gm8AxiNmRMb36Bebq4VCSyX68pw5iTGdTpt0UTgc9mGTGG0DSRozpjPpiQ0q\nLx+E14ZPKp98Po9MJmPOs3Ths6VKXfgikaXzE/m8blsnc6Hy3fQg5aC0ySnfybZ+UZe360u+m+yr\nXvDpT/1v8tk2fCMjIybaymazvtSW7h+bfHIcyrJ+Kire94NPZlVshW+yMU3JyJJjcHh42KSaM5mM\nT9fIfrLJpV6uoJfxaL3XDU4pl3rqxZXuZsQoDcnIyIiR0Vwu5wsu5N/rrETQMjab0eyWQxs+2zSM\nbFLPSA6HhobMeZbkkJkcLet67OnlTxqn7T6o9bQ1nvxZd66+mALSKa7h4WFTKEKvgIpSK1iX0dSd\nI0mSAt1tytJ1b7sAvyBns1kMDQ1hdHTUECxJDoVCLSS5DIqO4GksgSWBlMall+Ya8C58NJgaHx0C\n4rPhkgJtmycmPn4vFe4gnAKXMWFlnjYow8PD2GWXXYyi5QHQNJh8hg2XrcpayigVRq8yasPkcgwk\nhzJyHh4exooVK1pkVDoENmOpx6DGKBW+fEY3+DQebURsmSUaTKlsR0ZGMDIy4itIkwaTz7MZTF3d\nqdf02XRBtxwGGRTbtITe5WxoaMhwKAvv4vG4idbkeNTjTq9XdBmQfpweic019cLvkBxKPUNbYZPT\nIKfH5vC49PhOMZiuZutcaTA5gSsH6/DwsG+5BdM9ErxrwLq8CO25S2+iX3xB/0aDIiPMkZERE5UQ\nJ733IOI0PmlQpLHs1XsPcgj4qZ8p8XHuOQjfwsJCi6G0OQQ6wtT4euXPFV1qYykvHUXToGSzWd+S\nGY3RJZeuKFMrERrsbnDqebN2EbTkUEaYEh85lEU+NqfHtrZOOwsSm80Z65ZHV/GbxKmjE8ro6Oio\nb8kaMcroBGitPNZGU+PvRdnaOHNFmBqjy2COjo76xiExep5ndKINny36CjKW3TgELnxBESZthcwS\nkMORkREfvm4MZlAU3YtD0NfWeJ14JLITdDpIL0JlStY1SDuJMDlQ+x2s+m9dmIFW75ZEsxJWbsoQ\npIzkva0SGVgyJlwPNwiHQGOWeF0pWeKTJ5G0izBtEbScO9UGs1N8WrHY/rvLoLDfbSnLFStWGA7l\nJhSsinVhc6VjGYGRO9ucX6fN5hS4cGplKyPMdDptsHGzjUhkcRcc9lEQjxqvNpa94NPKVipdF1at\nbOm0jo6O+sYg5ZSKW8qBS9naDEu/KVnilPh0FMbfYbM5PaOjoy3jkDxKZ0xjDDImbN3g08bPxl+7\npVauLMGKFSta9KhMyWr5DMoOuAKVTvkbWISp7/kirjnM4eFhZ87eBs7lzUqP3qWMek3p2TpQ46My\nshmUZDLZsqbSZlBcEZiOMKUQSoz9pixtA0U2V0qWmxTogeDCJwetbY5WY+sXn44u9aAOisCYkuWS\nKFcaqRPZlFwSn1bA/XJowyc/XQ4BC7okPhuHriyPjqhdCqrXdGUnESbx2ZzW0dFR3xi0pT35jlIm\nXRFK0Dxmr2lnHYHZHIKgCDOVSrWsHIhEIiaIADqPMG2GRMpRLxy6+p5OAZ8flCXQelRX93bi9ATp\npU4du74NpisC4yXXDMnKw5GRkRbBcxlJWwRmm0OhwezHu5WY5M9BnoitAnhkZMTsxNEJUTaDog0m\nBYXe4yAwBn1qZasFOR6Pd4zJFYHZ8Mnipl7x2dKWErtNTm0GhQcmyzRkUDrWFWHKc/jIHy/Z791i\nDIoutUMglS0jTB7Aro2CrZ90OtaGVzo7/eBzpSo7NZgsGBkdHbV+f7PZ9ClsV0rW5QTY0pjd4gtK\nydpwuiJM7ier38Pm2LUzmrr1OgZd2FwrAYDWwi3qmRUrVrT0Ne9tBtM2XWdLp2t8AzeYtty0az2d\n9lj178pwmp+ct7KtRXRN0sulAgB839OrEtJpIBvGIIG3KX1JlKs/NEbiY8pSGkwKQS/42mFz8ad/\n32a4G42Gsz94Af6yc41PRmC9NJd8utbWab71ZXMmNM8yZctnsz8kRqa4I5GIKczgGOgGn+xbz/N8\nxtgmqzaMMi3J57LZeJPraKWMuvBJ+e8Un02/2Ha3sXHoGrc2Y9KOQ1aZynHIJRF8jsyG9NJ0Xy0s\n+Les60Q+dWqZnzY9o/tRyqhcLymNJ/++W1w2GdX8SYz673S07HLG241DzSGXtkiD2w2HHRtMCUq/\npE3pyw5h0zlm3cEAjCKRgisvPk/O89FgamXUj0GR+CQBNmXERhKlV2rDqDFpvDKNIpWRfJ8gr7AT\nfDZB04KsUx7ai5P4+Gz9PIlNVicSn3QIJL5esMn30IOVysi2eYKUU+2FU6noAabxcX6FFYocrFIZ\nzc7O+v6+H6fHpoxcBsU1BiU+NnKulavEKcehVkQSn4wwe8En5ZNzV0EKF1iKNLSesWUcdP/JXcjI\nITFyXXi1Wm0xJrIitR8OG42GVUb1NIAtwyafq/uQ/Sd3B2KRZSgU8uGrVCq+qRDp+PSCT8uCbWtT\nLaM6Gpa2wsahlE+5L7KsaF9YWPCdxkSM8h07aV1HmK5IyjZQJdk2Y6K9Sd7LgaGNplZsckGsVpD9\nRJhBylZjcwlzo9Hw/XdpjF1G0+YUECMFv1djaeNQe7bac9f4pDBTGerfCzKa2rPV+Lhgvl+M0umh\nUtN9rrESo4yapHctcWpDJTcxl1WYEiP3YZUYu0132ZS9VkY2bLYxWK/XzXu6+k4WBOniNcB/viF3\nTJJOXa/pPImPz5AyFIRPK1utY+R3SHzSYMplbtQzPHoLgO9vB+X0SIPpcsxtelTqUsmhllO5bScd\nH4mPGzjQOBJjv5ksiU9zKPEFOQUSk80paMchxyANpuRQZsraOQU9pWRtxlJHmTbvVguz9KCk8GgF\nqzsY8EeYTJXwfbTC7cYz0kRoZevyjFxzWq40iitK4bNt6S7uoCPx8bv7wRcUYdr40/iCsg+dOAR0\neNgHLOPvx1hqZUSFK3FqL57vJCNMvq9O+0lc0phweQ0HqsTIPUr5N51GmDqCktioZAEERpnt8GkH\nycadrMB0RZh06rSMdsuhdOgoB0FRpuwfPZclf0dyKcc3la1ctqANZqVSMdshSsen23GoDZp0eIIc\nAjY5Buv1unFgNI86gpYY5TI+bTDZT9SlvWaypIxSP3bisGpjKTm0BW18njaYtiyB5pB/1ym+rot+\ntDKSytGVsqT3p5Wtjiy1EdERgVRezWbTl5LVCreXCNPlEEiiXfiAVu+PEaZ+tnyWLZp2RZg8w08K\ncT/RicYXxB/xSf6ITypxiU9Hl1S2fJ52COLxuDkTr9cMgQ0nn+MyllKmpKNCZcTf47NtDk9QhCll\nlEanV4PiwiYzM504dRofAPPOOrq0ceiKMBnJ9GMwpX7R+NoZFFuEKbmz9aFN2QZFmBy3siCs35Ss\nTUa1EdQcyghT9pN8vi3CJD6ORW0ww+Gw4TqRSAzE6WFzyah2Cl0cUu40h9Khk1G0DD6IUZ4hKh30\nTlrPRT/Su7UpW+25645gdGKbD9DzJtpgAvbd8Cn0cqFxt80myNqg2ARZ4tMpWendaifDlrKU0YDN\noPTrvdu8v05SQTYOJT6dBg1Kydrw8RigfviTHEpFBMAnSzobIvtcvpecn5Ieri3CpMHk8yVGGkwq\nrV6dOomPGPlvLu/dFWHKlKXkUDs9GicjGulcSHzksV98Els4HDZKXuoCl0Ngm/9y4ZTzX0EGkw4B\nf1fKaj8YpbHTDp1tHOoIen5+3ugNGW1rh0BGmFJGNT7pQPSKT36/xGwbg3Js2RwCOQ8t9a12CII4\nlFkeyhGNaze6tKc5TCpakt1uoMoO0AvxbQNDKzOpfOXgkJ6yTdn2O//VTtlqz1ZGJlS20WjUOlBd\n+Nh3tmdycEh8vaZKXJ4t+7hTfPKZ/eKT0WWv+OQ7NJtNp6AjzZQAACAASURBVEGxpWNlNZ2cV5UG\nU967nAMdtcpnaoenVw4poxKvKyVrM5aMmGTK04VPG07NIZ+n8fUyDy0dOomtXcpS8idltFarmb+V\nHMpnS6UrC7dsUTQv6RQMoviOP7vSldpg6rl/GyZyymdJp0dmTbRTl0gkrHLaLTbNY1AWxIZPLjmT\n7yCdpCAObZkQOnW24KMTjF1VyWqvSHp+ep5RR0m1Wg2VSgXlchlTU1O+0DmZTPqqlmxzkFLRyyso\n4uu2aWEDlgROzt9I7xbwp2xmZmYwPT2NiYkJzM/P+6q2SAixBRk+KXRBAtgLRpuDoueHusXH9XxM\n8bQz6hKPDWevzdVXMhuilZDESDktlUqYmprCwsKCkVN6oeFwuIVDeVEpS9yDxqcjCeKzGRLio8KY\nmZmx4mNESHw2HjUmfsrxt7N41ONcXjTcjCKoZ6R8ag5tY5AKW/7c69RAO2ySQ+kEaZ1GvFLpU0Yn\nJydbxiE51Phc9zujufSWTWdLfNpW8AQZiY8XAzcbriC5ldmybltXEabLO3NNxkuStcGMRqNIpVK+\n+TgKjM3q68hId7rNcHYyYOXvyHeQni3Dd5dT4DIoCwsLSCaTSKVSBgedDVuEIbG6nIR+FJFtkDIt\npfHpyEQeoWPDR2NJfFKA2xkPlyKUvPSCUz4/yKDIKJDKiHLKQSwVLT16bVQ0Zo3Xha9bjPpZVJCu\nuS85hyMN5uTkpMFNY6k51Nj0e9j6WuKTfdwNPvY1/5bvZRsPAFr0DB0CbmagOWR1q+3q1Vj2E2Xy\n56Doq52ekRx6nufExrHaCU6boekGn+QQgG/KTuKjbZEGU3LIYqx2HGpM7TC6jKmr9ZSSlUqu2Wx2\nHGFS4TKHLoWYA4KVoEEGMyjK1AqpF0WkFYcNozQoVDrSoJDc+fl53/N4cHSQByTfZ9Deu1Q88rv1\nHo3tIkwXPqZpO40wbfj6bZpHpmZt80JBBiWVShkswJKxJIeUUW00tWPZiVPQLT75bGBRzm0Oq5ZR\nHZ1IA69lVDt1rijTxWG/+AC/0bQZEl6uTJZcwsPneZ7XEj23wznoJp0CLac2HacjTOn0UH6D9Iwr\nC2J7L5sz14uxZJMYbbikY2dzejzPQ71ebzGWQVkel/Pqap3iCzSYNoGX8178dEWXrgiTOXRpLNkJ\nuoKQ3+GKJG2eSj/eu4zAZD8EGZRGo9FiUFiqrI2JPAHdFYHxOzs1KkH49O/aOJX4JI/8Lp3OC8LH\nEnDNn1ay/NQOWC/Rpa0/bP3UbYTJfWQBv7FkoUy7wWrLGPQSXbo40/ftohOtbHkgsYxKiI8y2um0\ngSvy6wWf5E/KjyvC1AZTOuZynSSdJlndGmQ0+b3t3r+T33E5DzaMLg5tKVkXhyyq1NjapSsH2bSM\nMhPiygbaOJycnPTZCtoJTgFJDBpXt05QJ/3QU5Ws7AytbG3GRHZCqVQy80jS66AgywrCdhFm0ADq\n1IO3GRSpyHnZ5vikMpJl2bI6C/CTzIq2XhTRoCLMdvhcDkGn+Cjg2sMj3y6MLsPSi3drk9WgQgq9\ndKBUKpnCD+m1s1iAUYrNy3VxGsRht5kQjY/KMkjZ2vDx76VDR3xBytXF46Dw2e6Dskk6OqFjThmW\nDo/MYHViNINaN+k8jdE2hm38uSJMFrbweZRR6tCgtGwvkfQgOAzS2c1ma0pWFl9JDpmCtuHqJLXu\nwtIOY9dzmHpwhMOtRT8yOtERpqxc0gO1Vqs5K5f4uzZjGZSS7abZjDKfb8NIHNp7l/iJL5FImLmU\nUMheGOMynHrgaEMwaHy6mrUXfEHYtFJ14eu1uYxvUMpSrumtVCq+o65kCXoymWzBaCuQsfX7IBwe\n2X+633TBllREmkP5e6wuTCQSmJuba5FRV2qrncPTDz75yXvbOJfGRCpbuQmIjCyTyWTLlI/r06Vw\n+5XPdhjbZQlqtRpmZmZ8GxZIY8lxqLMEOsrUkXRQ6zUK1Rk7m6FsxyH7xcVhuyxPO+PYjdPQ88YF\ncqDYSnqD1jPJxb82r7hcLqNcLqNSqWB2dtZnSBuNpe3mZKk0F4zrsv5eDac2LjaMtoOhqZSkIpKf\nvC+Xy5iZmTH4bMVPcj0Ud+fQlbqDwqfX2slttFiST3x6C7RO8HEOQmYVbLuPDAKfxsnvkxxKGZUH\n0jISo4y6rmg0ilKpZDDS0GgO5XelUimzoFquSe1FTnWEpxWnxic5ZLZAzuvq+1gsZjisVqsG38LC\n4jaK/E7pTGh80unqhTuJD/BvRyfxpdNp38418/PzmJ2dRblcNn0i8VG+SqWS0TPEqAugNL50Om0O\nvNfrivvFKMd9Oxmt1+uoVCqmT2yXaxwuLCz4DJF0eNPptO+g7V7HoS3CDMInOWSkyd3bqCukw8tP\nyaFtHNpkNJVK+XR3Nxz2fLyX7hDZCeyATCZjFLDNoGjjBixa+0qlgqmpKaOQqtWqj2zdEfKkcSnI\nHECdkh3kZdg6nhiZGqFXzjWmet0Y3yMajWJiYqJF4dom7tsJcjf4gppW8JJD9inx8ezKTvCVy2Wf\nIMdiMZ+8vBD4tMJlv6bTaWSzWbP2jOktDlZpaLWMRqNRI6McrJRP13dlMhmfUdH91m/T0WIqlUIm\nk0G1WjXKQeID4HMCJMZYLIbJyUmDTxpNyaHEl06nrUazH8dV3rv6NJfLGSdBOz18T2m8GXWzMEgr\nXI5DaUwoK9ls1vAoN9rvtdmyLVKv8bgym4xSz0hDIuVJcqj1DLA0lSLx5fN5K75eZdTm2Gk9Sg7p\nQHNKR54BbAuEJIeucSj1KI+2y+fzRt90y2Ff52Fq711705lMxjcYOc/AEFh7L0wXVCoVTE9PBxpM\nPWBlhGIzxP1gBFq9W2lQpOKjQaEnrjE2Gg0jyNPT0yiXyz5lZItOpFcko7BBKFuXMSF/TKNrh4Be\najt8MkLRDsELgU82F0Yu4LdhlBkVYCl9E41GfcpIRtHyu6SscJDqgdpvCrMdPu5hS3w0mEzb2caK\ndAg6deoymcxAohPZbMZE6phsNotcLmf+mzSYTJXb8DWbTczMzLR1eqTzkcvlkMvlWiKUQWLUepQ6\nJohDVyGby2BSz3SKr1eHwBZBBxlMKYvkkJGiTZZoK+j02JwC7fQQI50RibETDvs+QBrwD1SpILLZ\nrG8OkgZTbqgLtG73VK1WDdE0KHrAaoWkDWan6a5O5iaCiK5Wq77fJQb+nfx+5ugZgdGg2JRRUCpI\nK6NBeu82h0A2puXo/clUhgufyyEYFL4gDuWgtRmxbDZrPHU+h/OZ+tlSTqXBbBdhyu+S+812ajA7\nnT+zyQ2jE/kcud2YfKYsmtDKVnLIaRGNj9kIXjvTIaDC46H0co610WgYTnkwuexLzulWq9WWTJbL\noMgIzIaxHTe6ad2gU7I2p47vD7g55O8sLCy0dVyD8Mmx2G+WwJZythlMXSAod4+yBVbaVgRFmMlk\n0shKEIftWl8HSLs8IzmA5DZZ8uKci+4Aek6MMJkOkhEm30VHmLalH4NqemKdGCuVinlv/cn3BPzb\nklHZugyKjthpUIhvUBGY/FsXvmq16sMk72XVKwepDZ90CKhsbXMng8In30s2m9NDg0lHTjp0MmLU\nMmrz3m1rxWSkEISxW5w2jLbiDzp1EpP8JB98pkvZ6ujEFWFy/PXLoU3HuFLquVzOty0ft1mkotVO\nHXmcnZ1tiTCDUpa5XA7ZbNZglLqmn5SlduqkHpVOj+aQ93oc2py6oAiTOoYGU0619ItPc+kKPLLZ\nbIts8tNlLG0c2jI9OiXL9K+8dvocpuwMreCl98e9FzmRy/0BpTfIDpB7B9JgMsLk/o22OUwqeDnZ\nPcgIjD/LCIxKnu/GPSuZzuPPWtFyD9ZSqdQ23cXBSuOlJ737wWfD2w4fhdSFT+4xK/G1SznvbHyu\ntDOdOh4PJw2L/FlWFlKGJUY5UF1z7BwPtsKFbh27ThwCckh8zNJQCREzjYOsLqRDIKdF2mVB6BAM\ngkPb2AtStvl83jjWxMDCJunw0BmQY9GWziPn2mmlcZYpUN730mwpSx2BtZNRyaHWNdFoFNPT09YI\nk/KiU7L5fN6XGuV9r/hcmSxbhEkZpWPNAkMZdUp8nMd1ySmwlJKljrFh7Gb6biApWZcCzOVymJmZ\nQSi0VJ0n5xe01yC9Jjm3R49BGmcqd3Z8IpFoqWTsdW7BVmZsi8DoEMj5WWDpdG9bBMY1bjzIlBWy\nUslKpSer5LQQ9zt3IjH2i08Ksud5qFQqxmt/sfBJnBy8toIKpu2YaibW2dnZlgiMCjcajRqMkkOO\nAy2bnKeVGHl1g9FmLCmv0unRTqseg1RGjUajxYNnhDkzM+OUUWKUHKZSqRZsg5jfY3NlCFigRVzA\nUlGMPiRbO3g2Q6IrOYlNTlHYIuB+mnTqKDtSRskh31tWkpJDjY+Vzi4O5RgkvnQ63WLINQ/d4NHP\nCXJ6qGfIHccj52ld9kJzKO2R1GcaYy/YujKYtrVJthSUVETSgyaRVEqSZOn1ETQHfjgcNguqh4eH\nUSgUkMvlTBEF01yugdqtQuKnVJaAfQJZksm/kQfzSnyMwOgFExexplIpDA0NoVAoIJvNmnk9HTH3\nGnnZsJG/XvHx3+UaMeKLRCIGXywW2+n4iE2nGOW/66q5bDbrW1cpcWjZlWs12Reaw2Qy6cOoCwuk\nbPajaOUYlNzaqgKJjzwxi8M+lwpInvDBqZN4PA4ARkaHh4dRLBZNgYgunNAYe8EG+HfBYdNRHx0C\nqY90Joscam75+5FIxOgZLvofHR1FsVg0HMplKxqXfsducBKjxGyTUaaXAb8syn6X/DJS0xzGYjGk\n02mMjIxY8dmcsX6w2Z6hU/m0FbbgYm5uDgB82MmhlF3P84zTTQ4lRrnE0YbRJmu21nWEqQ0l/03P\nSVERSaMhSabCtqUsARgFxBw09/UcGhpCrpDD9yPfx9TYFGJTMVxevBwjIyN4cvJJ/I+7/wcAYJ/C\nPrhh3Q2IhDpPJwQ5BBx4JJoDlcZdKx0unZGKmJ6TXCNEY88N2qmMMtkMvln+JsaeGEN8YxzXnngt\nDhw+0DzzX3/3r7jxkRtxy3m3dO0QuDjsBR//lgLOCjc+j4UD/Ld2+H49/mv85Y/+EmsKawAA/+3g\n/4Zz9z+3Y3wSj/wkVu0UyEo8meahEady1IOYfSg5TCaTaDabxmCmM2l8bfxrGNsxhtjjMdxwyg04\naOQg7JjdgYtuvwhTtSkAwFfO+ApW5Vd1hU0rWjk3LJWtTKNKg8E1bpQdOf5Y1i8dgmg0amRgaGjI\ncHjT5E0YmxhD/Ik4rl9/PdaOrMWFt16IbZVtCCGEZ6afwVG7H4Wvnfm1njlkk3N81DMyctIOD+VO\nKltZBESFyxRyIpEwfTsyMoJ8IY+b52/GxB8mENsSw7XZa3Fk4Ug8Mf4ELrr9IoQQwj7FffDZUz/b\nEzappOV7ujjk77l4lOOTGRM9DikzchwaGf1tDJ869VNYO7wWj449iot/cjG8sIc1hTX45LpPIhaJ\n9cUfObSNQZ1W1s6blFNi5/OCOKTjOhedw7k/PRffO+t7OKxwGJ6aeArvvPWdCIfCWDuyFp84+ROD\nT8m6lBDgL6NPpVK+iVcZWfL8Nnq9fB47QkYY9CRlfn94eBhbslsQj8Zx7YHXYlNkEz716KfwzdXf\nxFU/vwofeu2H8No9Xot3/+TduO2Z23Dmvmd2A9G8j8TGpp0CpkYA+Awi01XyecTH/pBzWHINVbFY\nRKFQwMboRkRDUXzxiC9iY3Mjrv7F1bjp9JsQCoXwyNgj+NZvvwWgtzWKNoPZKz4dmUl8vLrB98jY\nI3jnYe/E3x/+9wOLMtmkQeFuISx84QDl+j3tjUqMVLRyDkteQ0NDyOfz+F3kd4iGovjqUV/F0wtP\nY8PPNuDbZ38bH77nw3jLQW/BuQeci7s33Y1fb/81VuVXdezlSlxS0WoO0+m0wScVDQ8K1pkD9gE5\n1dxJDovFIp72nka0GcVXX/NVPLXwFDbcvwHfeuO38NU3fBWhUAhTtSmc+b0zceVJV3bNoeZO49N6\nhvKpMeromjqGStZ2RaNRjI6O4o/pPyIWiuEzh34Gv2/+Htf84hp8d9V3ceXPrsT7jnof1u+9Hhf+\n6ELc8vQteP2a1/eNTzs9yWTSV5ksI0vOX0ajUZ9TJ4MUubRNX8ViEUNDQ3jKe8rI6FMLT+Gf/uOf\n8K03fgsX3X4Rrj7xahy565G4/L7L8ZWHv4J3Hv7OnnjUWHWEqR0e6ZTHYkt7G2sOGVm6OGSEmcwk\n8blNn0PSS5q+ufSuS/GPr/tHHLvnsfjvt/93/OB3P+jIVgQaTK1sbP8uowkpyDKClCQ/lngMm1Zt\nQr1ZRy1dw8o/rMSeY3uaSGY+PI8H931wUQjCIYRDYexZ3xNHzx2NeDyOoaEh7De8H95QfAPS6TTG\nymMoJovwPA/fOPMbCIfCqDfq2FbZhnw831bhaow6zSVLneUEMkkG4Is8qtUqxvYcw+YDNmMhvIC5\n9Bz22LgHdt26q+mvOczh4QMe9qWP95rfC8c1j0OhUEChUMCaoTU4q3gWEokEnpt4DoVEAZFIBOPV\ncVxx/xXYcPwGvOeO97Ql2IZP/vsg8fH5c5jDw/v3hu9XY7/CU5NP4ZaNt2BNYQ02HL8BmVgG3TaJ\nWxpQaVCoiAD4PPZEIoHte2zHs/s9i0akgbn0HFY+sxJ7jO1hnIJ6qI4H9n1gCWMojL2be+PE8Ik+\njOcMnYNEIoHNY5tRSBQQDofxwOYHcMiKQ/DG770Re+X3wnXrrwucPmg3DjnWtLJl8USzuTQnW61W\nEY/HMbbnGLYcuAWNSAP1TB27b9wdu2/b3Ty/Hqrj53v/HOHIIrZweBHfSZGTfPjOLp6NeDyOLWNb\nUEwUjUIKhULYcN8GvOOId2CX9C4dcyVl1Ob0SGUrq3y1sdy2+zZsWrMJc825ljHYbDZRa9Tw8Cse\nRjgSRiQc8eFLJpMoFovYr7gf3lh4I5LJJLZObkUxUUQoFEIymsR4dRzNZhPluTKi4WhbR8eFUTcd\ngclxKFPN1WoVT6afxLP7PWvG4Z6/3xO7bdvNRGy1Zg0P7fOQwReOhLG6uRrroutQKBRQLBaxprgG\nZxcWOdy8fTOKiSIAYHNpM47c9UgAwGt2ew1ueuQmvOOwdwRiDMItMUunJ51Om/Ep9czs7Cx+G/8t\nNu29yGEtXVvEt3U30yezjVk8vO+inpEcnhg+EalUyjjn35n4Ds5bfR6++YdvGifx4W0P49g9jwUA\nrN97Pe545g6csc8ZbfF0HGHaFJAUaJkq4X/3PM83Z1KtVuHVPTSiDax9YC1q6Rp+e/hvscf2PZYq\ntxphHPPkMb7F7KlUCsmhxU8O1kK+gOueug53bbsLXz3tq2YHjE3Tm3D2zWcjH8/jlSte2Sk8K1ap\niAB/ibIslpAeUaVSQaQZQSPawP7374+5zByeOPIJjG4eNR6S1/Bw9GNHm11D5MV1QrlcDrlMDh9/\n5OO4Y/Md+Ocz/xkIAe+58z24/PjLkfASCKG7CEw7OnoebRD45ufn4S30hi8SieDVu70abzv4bThk\nxSG47oHrcPUDV+Pjx328Zw5lkwZFpqvC4bBRtJVKZXE+p7GIcb/790M9W8eTRz6JXZ7bxThU0WYU\nJ2w8AZlMxhSD8D6fz5tUUDadxYf+80O4/Y+349vnfBvhcBjPTD2D4eQwfnj+D3HFvVfgup9dhw8d\n96GucWnFq1Oycpxy/Bl8z3O4+t7VmM/N4+mjn8aKzSuMbMQaMRz39HGGQ+5yw0pRyeE/PvSPuP3Z\n2/HNN37TGMxtM9tw1x/uwjUnX9M1b9pQEqdMyfK0CmBRAUtFW6lUjJ454L4DUEvXjIwySgvVQjji\nkSN88ijvJd4rfnsF7thyB75++tcRCoXw9sPejnNuPgfXPHAN8rE8jt3j2I4zAxqj5hSArzBNcigx\nzszMwGs8r0t/vhazqVk8fsTjGN08aoIPb97DMU8c48PHZRXEmMvlkE1n8eH//DBuf/Z2fOPMbwAA\n9s7vjXufvRfH7nEsbnn6FszUZ7rCKHF2IqPMOjILWa1WEZ2LLuK7fy1m07N4/PDHsWLzCsMhasCr\nHnlVCy7J4f21+7EivQIn7XUSvv3HbyMUfj4ax1LgkI6mMVWb6ghfT3OYtnuZkpWdIr2+eDyOaDOK\nfDW/ONFeT6IRVpsCRxp48KAHEfEi8CIeIl4E+3n74ezC2UsEPy/IV732Ksx6szj3h+di3X7rkPAS\n2Lu4Nx7+24fx9V99HZf99DJ84bQv9IxNGpRm0z9PS5IjkYhPGSUSCXh1D9mZ7GIfzMbQCC+tG2o2\nm6iH6njkgEcWUwfe4lzZgYkDcd7IeQYfle91x12HaqSKM/71DHzhtC9g49RGXHLnJajN1/D4+OO4\n7KeX4fLjL++JQ4nxpYDvgb96AGftdxZysRwA4Mx9z8T7//39XWEL4hNYilBoLFn4wpNYyuXy4laH\ncx4y5QxCoZAPI52e+dA8fr73z31poINiB+H8kfN9yjaVSuFTJ30K1XAVp3z3FPzywl9iODmMM/c/\nE6FQCG/Y9w34yE8/0hc2jY8cSnzcW5UbfHh1D+nSYrVgtBpFI9zwRWx11PHQ6ofgRZdSXK+IvgJ/\nPvrnpmCLHN5w0g2ohCs49bun4qG/eQjJaBL/58n/gzcf9Oa+ipqCin4oozSg0uFJJpOIYlHPeJ6H\n0FwIzfDSmZGU0UePfBSx6PMbnUQ9HBQ/CBcMX4Dh4WGfs37dcddhBjM46/+ehZ/v/XNc+KMLceub\nb8X+Q/vjy7/8Mi776WW4+sSrB8Kh1J3SmEQikVaMtShylcVlLvFa3HBIjKF4CL/a91eIRWPwoosc\nHuwdjL9c8Zdm+ztenzzhk5gJzeD0m0/HA3/1AD576mfx/n9/P665/xocvdvRmJyd7MkpCEqrSz0T\ni8WMM8CxGG1EUZgtLBb0zC3ZCpM1CdXx6KseXVo3+jyHbxl+C4aGhpBKpXDHo3fAi3i48N4L8djE\nY3jX7e/Cd879DsJYmsYozZWQj+cHbzC196cHg0zBeZ5ncsxy/gOO8cOXDS+EcfTjRxtvL5/PI5/K\nmxLhaDSKO8fvxPSOabz78HcjFU2ZcPy8fzkPV550JdYU1iATy3RV8BOEUzYOUs7vyHVnMj3nem6z\n2USoHsJRvz3KFE8MDw+jmCr6din68bYfY+q5KbznyPcgHUsjHArj1bu9Gvf/1f1oNpt4ZuoZ/M2/\n/U3XxtL2Ti8FfJFQBOFQGG/61zfhqhOvwhG7HIG7Nt2Fw1Yc1hMmm5xKB6gdRsqp9kZpULx5D8c9\ndZyZzxsaGkIxW/TJ6a1bbsXks5O45KhLkIwmDcZjVh6DH/3uR7jglRfgnk334KDRg7rG6MIrsdnm\nkG0V5E00gWYrvmOePAbDw8OLV3oYw4Vh3+Ygt2y5BRMLE7j41Rcvzg+FlmTjzmfuxAde+4Gu5mVd\nuGwcSj0j5+oMzpA6wg3+YrdQI4RD/vMQjI6OYsWKFRgdHcVoetQstYhGo7jtudswPj+Oi464CKnI\nop6JhCOozlfNNMEu6V1w/+b7++JPYiVGubxKymlLpbVSqCbwaDQQrUdx9GNHL2IbHcVodhSjQ4sY\nyeMtm2/B+Pw43nPke5DyUov9hhBu2XgLvvz6L6MQL+D9//5+nLzXyX1jlE3LqR6HZlkZWiuSfRw+\ndMgSvtFRjKRHTAYiFovhK8d+xSxb+4vb/wKfOuVT2DWzKw5ZcQju2XQPjt3zWNz++9tx/MrjO3rv\ngazD7LZJkjXhnbQTRk7AdU9fh7fe8VY0Q01cccIVSHgJvO/o9+HtP3o7ouEo0tE0PnPqZwb52l21\nfjGetMtJuPKxK/HmW96MZqiJq066CnEvbv67zWF5Idug8V150pVIeAlcv/56XPKTS+CFPeya3hWf\nPPmTg3ztrlovuGRbt/s6/NOj/4Q3ff9NaIQauPaUa5HwErjq5Kvwjn97B7700JdQSBTw9bO+PpgX\n7rL1i2/97uvxsV99DG/6wfP41l9rZPTJiSexurB6EK/Zc+tXRtftvg4f/9XHcf6t56OBBjYcvwEJ\nL4HPnPoZvPX7b0XCSyAWjuH6ddcP8rVf0LZ+j/X46MMfxXn/dh4aaOCqE69Cwktg38K+OOdfzkEs\nEsMRuxyBNx/45hf7VQfaNpy4Ae++7d2YW5jDAUMH4Ox9z+7o715wg7lveV/kt+cxjWmEG2G85r7X\nOKNOV4tH4thw+Abf/AoAHLXHUbj9gtt9Kcdevdt+2qrJVUhuS2IOcwg3wjjkzkO6fkYiksC1R11r\n5saY7zffkV+F295828sO38GjB+PWN9/aUpz0QrdVE6sQfy6Oecwj3AjjsLsO61pOE5EErj/2eoOR\nc1J75ffCD8//ofm9FwPjyvGViD4XRR11hBthvPInr+wJ3w2vu8G3FzCx/PxtP98Jb91523dmX+S2\n5TCJSYQbYRz674eigdbK96CWiCRw3Wuv852GBAAnrToJJ+51otEvL5aeWT29GultadRQMzLaC8br\nj73epJ+ZCn79mtfjtNWnvaj49qvsh/y2vOHwiLuP6BqfbDefdTOSySQAYN/ivvi3P/u3rjkMvVgK\nabktt+W23JbbcvtTaoPbnXy5LbflttyW23J7Gbdlg7nclttyW27Lbbl10JYN5nJbbsttuS235dZB\nWzaYy225LbflttyWWwdt2WAut+W23JbbcltuHbTAZSWVSsVXQqsXD/Oem3LzkGfe12o1bNu2Dc89\n9xy2bt3qu6ampswidn3wM/ejZTm32R4vmUShUDAbGvC+UCiYnU3k4nTb5t3xeNz3D3Nzc84yYVlB\nLA+3ltfMzAy2bNlirs2bN+O5557Dli1bFhcPi7MR5RmCEpu88vm82QNRfmYyGSs2y+YRvn+Yn5/v\nqAya+CSHc3NzKJfLPny8nnvuOR8+ecmz/PSnxseLO+h97gAAIABJREFU+GzypWSwZfFDtxg1zk45\ndGHU2zhSJiWHhUKhYw41xhebwxcTn/xVuXWa/ty6davBJD+np6d953fKe27+LXHyXuKSVzKZbME1\nSA6l/pydnTWf5XLZh1FezWbTh6tTDjvRM/3gk7/Ce57hacO4detWYyuIbevWrW05dOkaqV8kRi4t\nAYKXdHme16JrXjYR5qAX8S8vt1luy225LbeXd+vWbgxs4wIu/OSeojxbcH5+3vwbL9/eseLipsHy\nmBdePLSYz5N/51p0ujOMqHxXvpfEyf9mw8atoDQ2jU/2mca3s3b30dh4coCNRxc2XjYZcPWVDd/O\nxEqc8v064dCFUcpBNBpFvV43z3s5cPhSwicxahnT78R9Y20Y5Sf/JghjkJ7Z2TIapEulHtXct+Ow\nnZ7ZWfjk1nad4HPJqcYo5UBjtPHYaxuIweTu8TwpYGZmBpVKBZVKBePj45icnMT09DTK5TIqlQqq\n1ao5+FXvdel5ni+1xA2HE4mEb3d7ueM9O0kOeJLTC+G2TZF56go3P+ZnqVRqwUh82rBGo1HMzc2Z\nT7nZcDweRzweN6e26DPx5EHOTD3LPUH7bY1GwxwBJfmbnp7GxMQEpqamUCqVMDMzg2q1itnZWcM7\nOZOpdcmh5G9+ft6HL5FIoFar+TbT5icw2AGrOaSsujjsFCM55Ob0Now8m1KepfmnwuFLDV+tVnPq\nmampKZ+emZ2dNY4oMUo9I4/LSiQSmJmZQTKZ9J1NydQfx67ENmg5lTI6MzNjrl44nJuba8uhPKGI\n41BzNwgOqYuljJJDXhMTEy22gud+tuOQaV2JUW5eH4/HjZzKM0SD0s62NjCDKQdqqVTC9PS0VRHJ\nTuAGu3KzXQooO4CbIfNTCzEPkaVHySYP1e21yedJQS6XyyiVSganC6ProGjP83z45MVjtWgseSK5\nVEbEZzY770OY+bfkUOKbnp7G1NSUFV+tVjObXuuNvjlYNX88VkvzV6vVzMHMlAGJsd/B6sJIGe0X\no8RHp0ced5dKpQyHkUjE8CbvX8ocvtj42LSeIX/UMxMTE+bfaFCkY64v6dBJjNwCTx/GPTc3h3g8\n7pNRYDC6Jgjj9PQ0JicnWwymS89IHmXQIceiHIec85N6hpj60TP6bxhZ0sBJfDY92g2HUj6lreBJ\nKFJO+d96cQgGajDp+ZFgkmwzJrVazRcR6hMIXIUIsgPS6bRRtozM6Cn0uv+hbQ9THWGWy2VMTU35\nMLo8P5tToIuc5CcAYywzmQxmZ2d9ykhj7LVpAWk0Gr6z9qampjAxMYGJiYlAh4DeHjFKp8c2SU98\n5C+bzRpP2Jxo43jHQWKkwSRGcjg9Pd2ijDrBKLE2m02foiVGHr2kedwZ+AbN4YuBTzebMeEYtEWY\nNsdcOmW1Ws0qo7FYrCV6rlarLePQxkG/jWl0iVHLqHYI6GRr/shhtVpt4RF4YcahNpoyG8ngijp0\nfHzcjMFuOHQVPGlbQQ7pnPNZxPiCRZjNZtPaCTt27DBCbEvJ6ko6Gk59LBE/6UUw8mKHSoNpA98v\n4UBrhEmvnQPV5r0zrSMdA9uxPdJjCofDhuBcLucbqBrfzvBsZfQ1MTHh49DmEGhnJwif53kIhULG\n2yM+epASn4ymB41RGpTx8XGDcXJyEqVSqSUlG4RR47NxSKdHO3WD5E/iGySHLyV8Nj0j8bmiE42P\n9y4ZlRWmGiOdAo2z3yiaz9ROj4tD7fS4MGod2uk4HCSHsm90SpZOj41DaSsGxaGMVtm6qZvYaRHm\nxMQExsbGTLhNkmdmZozXIPPH8uVtBkamgOgRSYMpiaYA9atwZbTpMpjE6IpOtFMgBdGmqCKRiCGY\ng14azEHgs5SI+zxb4tuxYwfGxsYMNlt00g6fDSP5k/O99XrdvE84HDbRea/NhlEbFIlRctgLRj2I\nU6kUstksCoWCz7Plu/STBXHh25kcvtD4bM3m8FDPSHylUskXnQThs+H0PM+nZyRGm0EZlJ4BliJM\nm9Mj05fa6elVz8hxaMPXb5GMxmibviM+l4wOgkOJsV6vW52eTtpOm8NkJ9CjpbGUKVnZkbJjZYdI\nUNKYFAoFE8kxwqSi7Xeg6nQsPVttMKmMyuWy76IRkB63bK7oNxQKIRqNGnx0LijIUjAGpYyk5yeL\nDaRDwPkw4pPzX53i4yfx5fN58yyJTyrlQSlbfneQ0zNojFS00ulh4RYxDkoZvRgcvpD42Fx6Zmxs\nzMxlEp+MMG2YgjBqPcNxqB3znYXRFmGOj48bfHIOM4hDjUt+Sg61wdwZekbis03f0VbsTA6DnJ5O\nW1cGs9FYPItMdmKz2fRVJ9E40jvSxoMVS0ERiCw5bldmrEu+B2Es5TN5z4lziZEE06jpgh0ALXML\nxCvL2eV9J9j6wSjL0OVzJIcSW6lUQrVaRb1e3yn4XO8zCA5fKhhdXC7jc+OzXVrPyMI7bTyYjdJz\nXjY9I7F1o2v6abqv+LMNI6NmKnxWIb8QHPajZzrBRzvxUuCwXToW6MFg6mthYcFXGqwvRn+MnvjZ\naDRaigl4z3kKuQvE7Oysr1KKAkGQLnI76QQ2Emsz1iRal3tXKhUjgOFwGPF4HJFIxHzaJqNDoZB5\nHrHxZzlPZMM3CEVrW2uoS7xlVoD4JC4bPu5m1Ak+G8ZBNI1R3neKkYNUY5S7NXWLke82aHy9cPin\nhK8T/srlsi/C5RiLRqOmQMl2Uc9ojFyaoY3PoJp0xKVyX1hY8C130pfWM1LfdMqhXGrjwjeIFLPm\njp/SWGoedxaH3eiadv+9Y4MpBVkvSKfhkJ+8ZK6Y1aEAzMDl+hhe8Xgcc3NzvtC8VCohFAqZwaqj\n00E2zlfqBfc0ljaBJj6SE4/HAaAFG69IJOLzHEulEsLhsCnxl8LMd9Jp4l6xdcKhdgjYOEBZls0K\ntH7wDdpgAhgYRgBWjMlkEuFwuC1GG75+eRwkhy9FfICbP449iZE6Qs7jyUpQl57hukOZBqSeAeBT\nttpxteHrxTHX+IIwzszMmO/QeqZbDhuNxk53XCU+yWU/HEobwXvaCs57ksNms9m107NTIkzO5clF\nvzaPlhcnYOXyCaZl0+k0UqkU0um076pWq2ZdFT0NTobbPNt2rdPf08pILvy1GUzOBbmWiGhsmUwG\n6XQakUjEVNiOj48jEomYtG80Gu3a8wvCp//Ghq1er7coWjmPYMPG9VsaW6f4JMZ2WHpVRnLv2G4w\nBnHYC0bNRbeZkEFz+FLGJ8eg1DH1et0ZPZfLZV91pN6Xup2eoa5hCpML5KVzHsRHLxy6MLqMCTm0\n8dgLhxqfdgj6zdbZ9KgLX6cc8pJ4XRzKDRyCdI2tXiao9WQwOWnLS3aAHrQytGZOWpYz53I5ZLNZ\nc8/q0FQqZf52fn7eGCyX1zCIlCUxyt155CbB0juSOJPJpM/rSyaTSCQSPky88vk8IpEIMpmMSass\nLCygVquhXC4Herb9zvFpYyI5tKWA6BBw9w9GJ9woXvPWKb5OIsx+vF2pjDrFaOPQhTGXy3WEcWem\nu7rl8E8FH9CqZ7g43ZbdoUEhJunM0aGTGOV9uVxGKpUy6UvqGZmyDIowe20uDm27UA2aQ1ZQu9Lq\ng2rM1OkDD4IizCAObXYiiEPX9Fa/OHtKyeqtiFzGkilZOXfJBfnZbNa6k3yxWESpVDLhODuAKYVO\n0giDmOejZyRxyihTYqYA06DIcnRiGhoaMvd0HJgeobLjYtsgz0/fdysAeqDKSXib58csgZz3In/6\nxJFO8Q06TeLCqPlrh1FzyAo7yufQ0JD5ZNl6EMadkc6T+Lrl8E8Bn9Yzels3l8GUeiYWi5llL7lc\nznoqR7FYxPT0NGKxGAAYY0I9005OB+mYyx2HguYw++FQGksbh7ZMgWy9ckh8cg7VNn3XCYe2U454\n6hWzkNVqFdPT0yY6dTkFtmrbTgxqVxGmnN+Te4XKzqCHxntO2lLZkuRisYjh4WEMDQ2ZT95PTk76\nyv+ZmpXCaxPgnTE/pPe11cZzdnbWHPlDh4DOwPDwsA8jLzlZTXzxeLzt/Kwtgm42O18wLSvWtMKV\nE+fSMSA+YHFeR+OT2HgfjUZ9A1Ti00poZ3i2tixBpxhtHErZ5M9BGDW+QSrbfjl8qeMDloyJNJoS\no82BjcViLXomn88bbFrPDA0NYXJy0rfmkXqmnYwOQs+006U2ndoLhww4yuUyJicnTZHQzqwhIEap\nR/vlUHPHnzOZjOGwVCohnU77bMWgMXZlMPnF8mX0pdMzkcjSJuKMSkgqz7VMp9NIJBIGqPRYWW0l\nJ8Z1ybAWYJm2HEQKhc9y9YnMs+dyOQwNDWFkZMR4RNlsFqlUyigc9qNUfrrIQWJ0GUpberZbwXDl\n7+W/yUXAPEdvdHS0BV8ikUA0Gm0pVtLzNbIy0IbL9tkLvnZzFPLf5KYY5JAY8/k8crmc4bAdRnJo\nk0/dei1vt+F8ueBz/fegv6OSlRsqjIyM+PRMJpNBMpk0RlHrGWnA9Bhs9x79ctiudcphOp32cejC\nKJdfuPRkkB7tNuLspPXKIXVpOw7byal+VxvGrjcu0EaznbfC9ULsBCrb4eFhZDIZczF3HSTIkmSp\ncPXFvx3EfFG7eUMtyPSIVqxYgXw+j2w2awpiaDDl82wktxPmQWDUStalcImPqVg5UHlocDab9eGT\nz9GeZicOgcbXjwGRPwdh1E4BMbo4bIdR8ydx2CKWTjHa3t12/6eKT+MMwiQbHXOpZ4aHhzE6Otqi\nZ5iSpM6yRXzSKZDyOegpoE5bpxxKx7XZbPocHxm1E2MnxoR/vzMiUT4bsHM4MjKCkZERg48YJYfy\nOcTYTo+6HISBpmSl4gmKMKUQ6ghTdgIndXkxwpQAdHrGtjA1yFgOWphtnpYUZGlQcrmcwSYjTK41\n0hht+DqJwPoR5E6iMOJjoZbEJ08450CV+OR6rG68Ppdw96N422HUUwaSQ+LsFKPEuTMw2nC9HPDZ\n/pvNKdDNlsminiE2qWd0ha/MZHUyDoOwtsPYS+uUQ5eecWXqdOARhKufcaj/3tZkMZPMRo6Ojvpk\ntJsIUzsF7Yxmu9ZThEnD2C7CpIdjC7NXrFhhFtrysqUR2BE6QtEp2SBj2UvH6Oe5nhHk+bFCTWL0\nPM+keGwRdFDKud1npy1IAdl+dqVkiY8X8UkjLvmTnm27gSr7vtfminjaYZRp9Ww2a44L6gZjN6mg\ndhhd7/9yxOdSyi4FzX+X6bxMJuNTtvrYp3bK1pUFaYdtZ0aa3XDIlKyNw6DAw9UGka3r5FlBEabk\nT3JomzroxumR+r0Tp6evCFOvp7MZTFcnjI6Omr+Vn66ULIXZlpJ1RZn87NYbchki27/LlGwmk/Gl\nZFOplMEkK7bm5+d7NiidGvJ2LShlqX/PlZJNp9O+0xB4T89Wp7pcykhjG0SzGZV2GG1p9VQq5cPW\nKUbbQA2KkAaB8+WCr1361daknmH0JfWM7dQOrWxt8186nedKyfab6WnXOuVQ4tSZLNs4dDkE/RrJ\nXv7WNoc5PDyMFStWBHIoo+hua0G6bX3PYUqDZzOarpTsihUrnJGhzWB2G4H1a1Bksxli3ttSJTQo\nrGqz9aHGZ8u7B3lFtvtumy2dZ0vtyZSsjKBZHayVdr1eb5uSDXIIBsVfUNrShpGDVSpciVH+fjuM\nxNkOQ68Ybf3+csNnw2vDB/jTeTLCHBkZsfaV/o5BF/0MugVxmEqlzO/IS3LYLsJ08TRIPdqueZ7n\nC65kWt3lGLpsRbdp9U4xdmww5YvSukciEet6F2n1XQY2EolYlWOz2fT9ntwlSBYFSfJZriwNLteP\nddN09MzvlelU284REp+OKEkGm8Ynv4d9Sc9+YWHBtw6NCkq+Yzeerc4M8HsXFhZ8PGrHR/+d5IX/\n3fU9kj/2IfGx3Jxl5fF43HDGv++2aS5YWv9Swyh5fDnhi8VifeGT3y2/d2FhwUzbuBak2+Tbhc/W\nlxIjZY/ZH7lOkqlBPqNbOdV6lBwy1agx2jjRekbis+leG76dOQ5t/arT/i45Zd/IqFni0n2pv6cT\nDiXGbuS065Ss7ohGo+E0mq4CHnqotufLwULwcu9AWfKuieZA5fvJgdtpk9jk4JdzA7LCTno4OmKU\nKRGNUQswvWNJNA0mT59IJpM+RcTNHbppUtFKr4vLeiSXbBKbvjjotMcnv4d7XUp8HKjyqKZ6ve47\nfaFbh0D2sexfDgzuQykx2vgbFEYAPozT09OmaIFyqucL+8X3QnIIoOXsxmQy2TIOe3XqOAZdMmpb\nxmbDyOe68PF75O45LEBsNJbOUC2VSqYfJEYq9G6abRyGQiEkk0kjozrl2I5Dm9GUulRi5HpMPQ6l\njMr37IVDLZ+hUMiMQW00ZQviUH/adKnmsNlstnAodQ2j904w9mQwpXfTbC7tJO/aHUN2gDSYNs9C\nel4UZBLNAUMCFxYWfF4DsCQgsrimW4zSGWAn2rw/PVglwZwf0Ph0P0qHQAoyAJ9XxJ0wAPjmKLrF\npvHx3yU+OVB1mlvOG+uBqvEFDVTi48L4RCJh8PBvuQtLt032Ld+fxWda4RLboDFybMgDnYlRpvJ7\nwSgVvcyqvNAcSmU7SHxSRiV/NmUrdYzGaHMIbMpWO+Za2cpNVBjt8hnSqPdiUHQ0Th2nMXbKoX4H\nl9MjOdQyKqNL7bT0yyG/W8qpdgh08BHk9Mi+lHbC5vTInY6kruG0YSet5whTelV6wtkWatvm6+Tz\nZHTpijC5VlNHmAyxXZ53p2Rr71b+m/RuJUbZXBGmTlFrz1Y7BPxuOgQzMzMGnxSOdnl5fp98P42P\nP+voy+bZ8pLzAjqdYYtOiE2WvGtly0Ep8VH5dtNk/0pjQow2g7IzMNoMyiAwakWv8b3QHGpFNAgO\n/3/2zjtcsqpM92/tyvmkarqbJtM0IMIVBdoRQUGSSFBREUdHwQcGMM14lTvOKBezg6A4I0FBZAwY\nkKsIklQkqCgGRCTaCCrQTfdJlXPdPw7vOt9etXbFXadPqMWzn6o+nFO1f+td61vf962w5fe24tP7\noMnY1mq1pv4nOU3GlmeTmiJMGW3R0HbiuDr1Qx7rxj4pI8xeNXSyNfpgYnJc5eDfDV8rDWU9c+uS\nU4RpcnikHdXrVLf5dOqkhtLp4bGHsp3SCeJ3tyo9rZKVxghA23lMVoQeYeoC870pVSJTsnrKslAo\nqDMW6UnJid5OPT/AnrOX92KKTlgfushywJSMsiHraQRThCn5crmcrU4YwXarn+TTO1Mv6S5pXKUn\nLyP9Vuk8poLYuOXv99JRZf1KZp/PZ0xZLhQjD7yWUUmvjHob3Z4aSmPL72S7dpuvVUpd55Oc/Bwa\nT6d+aErJ6uk82rd+NJR1q2ebWkXRrTTk4K4z6lmCVlMjpjbKLUS9Oj2StVar2RwC6bjqfDqj5GMd\n6nXplCWQTo9TP+zUlvYUYTYaDVUZHo9HNWA5aMrISq8ADpjy92QnNU3gygiMvy9TlrwH/l4vAwoZ\nJZuTMWrnGXHA5GfKaEePojk/Gg6HbXNP5OMjxKTAcpViN0U2OJkW0jtpq/k9+Z5a8GoVncinLUj9\nstmszQiFw2FUKpWOImiTfmTkPZjmodvND7nJSGOkG9peGRebhnR63OCT/Y6v/Ax9MGE/knwmY0sW\nnbHTdB6dVtarG4xsezIbIhml06MzmjR0YtRTsrQzUkPp1LE+WBfk66aY+iDvSaZkW6XVTXOY5JN1\nIW10u5SsfJ4ygyAydmpLu14lq6du5IDpFGEyfcAUKg/ilYtWTIOKHoUxFcR7YEXIRxzx2WudntCh\nM+rGiMI4zQ+RUUbP5OMgx3uQdUc+PTUrB2KZe/f75w5cLpfLyuHoZTDhd+udy+T1Sf10vnK5bNNc\nNnxTqoT6yTqWq4CZrolGo+rJ6704PPx+dlLZWaXDYzJGS4FxsWpYKBTg9XoRiURQKpVsR6/1op/s\nf7x/OZA4RV9yWwEZJZ+sw07sDD+TjIwCI5GIzc50W3Rnm6XVWoluNdQZu2mjUsNesgQyyyOLU+Ch\n21Gdkb/XTTuVGsoForSlvbTT7pd3wTywyIFSDpiMKOXildnZWdupFHKJLz1K6UXpqRZ5DaJIMfg9\nkkln5PYWemnpdBrT09OoVCq2EyroEZl4pMco2dgg5MUijUm3fHpqSvd6pabSC83lcpidncXk5CRK\npZIa6OVcrLw/U2qF36kbq1aRUa98ejSh6ycHnqXKuD00lO1T8ulOcy98uvMsf+7EKDMW+Xxe9UFp\noCWjPmDpEY0pSjOt1TD1x36L7OvdtlFpZ2TppY1KG+emvdXtmeSjhlyxyyfI6Jdcy2Lik8FSKw31\n4K5d6WkOE4CtM5gGSukhyobMx8z4/X51NqAMublYx3T1Olh221n5qle46aJTIHPks7OzmJqaQqVS\nsTHKyEdPqcj5JP1+pZGQ99ctm+TSG4jTYOLENzk5qZZmSz5G1CZDS09VRtx6R9XbUK/FxCn59PdL\niXExaCjr08nY9qOh3r7bOT20M3J7xPT0tIom9O08zG6ZOPWVmZZlX4ToNKD0WkwOgs7ajYbA3EJM\nnU8yyrodlIateFtpqA+Y1JCpVmqop2fbadiKkaWdjj2d9MPCm3aKLtkQmB7J5/PqmWV+v98WCrMR\ny9VKra5BFt3I8v5MFwA1zyE769TUlEorSEPE5cumqFIOmE4Rpn5/bvBJT9p0ydQwO2okElGRteRj\ndOJkcKVnK42Ryevrt+j15OS5L0XG7amhbtSdImi3NXTSzmRsM5kMpqen4fP5EIvF1BSGZVm2PujE\n6RSdtDK2bnPqrN1oqB+Lpw8mThrqbXQQg6VkdHJ6ZJbA6/WqJ5UA82MF2SSjrqFTlkC2UTlWtSst\nB0ynytKNuj5Q6p6tKSXL1KusAKZm20WXsoJalU5+p1WD0J0DJ6dANmSmSpgaoWAcLLly1inClJ6T\nvA990OyGsR1fJxG03Ism+XRDKwcMJ4Pr5Nk6NeJ++ViWM+NCaijbKPn0ucVBaKj3A49nfs82gKaU\nLFec0wnnfYZCoSY70k06z6QhP8uNYhowe9XQFGzofHoULedDZQTdiq+bgVXXkPULoCnCDIVCsCxL\nacj77FfDBUnJ8sv5ahowZSPi78iGnMlkbPlnVgBXR5rOiZUid9r55O9025A7iTBbpUrkXkp2an0J\nuu4JmZj59/K73EiRmCJVJ+9ddwjIx9QyANVJmRKSHVVP58noa5Ce7XJnXIx8bkZf3WQHeK9cAEhj\n6/PNH+Hn8cw/REAumDM5BHLFpGQ0pWQHPVia7IyuIQs1jEQiRqfHNKAsdIQpGbvVkIEVdwn0o6Hu\nELC007HrOUzTv00p2VYRpvx9uf/J9Ngg/b3JY3K6v16KHJDk+1beu1xllsvlbPNUHCzlClcZYTpF\nJqZ7chosu+msuqHV+WRDpk66Q8DFDnR22EmpHzuxE5+po7Y7KaqbYmLUvfWlzLjcNTQ5rKZBRDe2\nMp3HDfMAlKHkCmV9C4FuaPme39tpdOLWoKnz8mqlodfrtWnI+3eKwuS9tnN63ORrpWcrDeVgWSqV\nXNGQP+smCOlrDlPeDCtb7oOJRqMIhUK2cJtLl/Wbl1c6nUYul0M+n0exWFRbRSi0jEq5xJvfpe9h\n6qXQGJiiPLkBWD6wlSlmpkxknUjPlH+fyWSQy+VQKBTU8uZaraY8Kpk+Ip++h6kXPskmX4F5w2Li\nkx4g+eQ+WX0lIjXU+fh91F9uFpf6uTUHRmaW5ci43DSUPHo71fs+n04SCoVUVod2hlGE5JKDQjqd\nVv2Qdkauq5DZIXmCjH5ilJtRmIyE5HdGIhHbHnRpZ/QVwNQ0GAwik8kgm80in887aqh/l37Ah5t8\n8jtlG10IDdleyMitJ90w9hRh6h6g9FJlBSQSCdsybg4o+XweHo/HcXk2V9JmMhk1aFJowO5tRKNR\nxONxJBIJRKNRVRlszN0W3YsyGSPJWCgU1Pcx2iwWiwDQFP5z4A0EApiZmUE6nUY2m0WhUFD78vTU\nAx91k0gkEIvFlPHrlU8ySe9TOgSyXovFohqkyVcqlQDA1kGlhsFgENPT05idnUU2m1UNWfLJRsy6\nNDkEvXRWnY9Fd0SWKuNy55OMfM8iBzBpZ2j06bhKp0A3/qw7LgyiY0A7Q2MrDbscuOgY9OuYmwrt\noqxXaqjbGV1D2lNpZ6amppSGup0xfZe0oabDBdzgM9nRXjXkWKFryLFCH5yj0ahi1A9Q6KT0tA+T\n4HoF6J0nkUiowVQOmAyX9dWCTBtw4YzJc5CVIJ8+nkgklJcrB5RehTbNgUpvjMaoVCopT1s2ZJ5k\nJNMbLH6/v6mjSj6ZqpYDpt5Z+5ljMKVX9IbMjurEp6en+LmyozJCYUcFzEaBEbTsqP0YIpPjQ0aT\nMeqHsRtj5BbjQvItFg1NEZG0M3RMGYExI6VHu0zf5XI55ZibjK0ezdLYSqfAzUyI/p3M0rWzM722\nUdN30elxS0O9yHbTj4YAlIbT09NNGsoFpTILIjXUGTuxpT0/QFoOmKYUKStB5tKZX+bpDfImZf65\nUCioAVOPMCm0FJkDpjwIQQ4orSqiXV5ez/XrAwq9PA72PGVE1o30lOv1OgKBgM17d2rIMkpIJpNN\nfJ14RZ3y6akL2VHlfLE8ZUjno36yo2YymZYdld8Vi8UUm1sdtdMIrF9GqaF0egbNuFB821NDvZj6\nYDKZbFrfwK1slUrFZmjJV61WUSgUWkaYTsZW9kHJ6MYcn56tkxryOxqN+YPXu22jHGT5XbqDRb5u\nB8xO2Z3aaKcaejwem4b5fL4jDXWnoNd22nOESXg5l2EaMGlEeAQRX02RpVwgRJFlBKaH2XqEqc8X\n9pOy1F9NqYR4PK4E5UXGSqXSlFai0HqEKY0t/8YUYepzob1G0KboWa9X6RCY2MgnNWQjduIzee5M\ndXFvrky9uJEhkHy6U+AWo1OEaTJGbjEuJN88jWp9AAAgAElEQVT21lDnk33DZGcka7FYbIos+XvF\nYrFjY9tKw0FGmO3sjNxfSkbuy2znmOtZAg4mbmqoF1Mb7VZDOgtcUWvSUJ++kw4INZRzogMbMGWE\nKVdxyZuSlVAoFFAoFFQ6lqtJZYdndCnPgORkbrs5TDmg0AuRr73MD/GVF4ups3LyHYA6d5ErgvUt\nJLIhz87O2oytXPnVDV+3xeQMOKXzJB95THy6fn6/H+l0umVH1aPZWCym0jGmNHY/Gsqfmbzbfhn1\nAcUUgbE+3WBcaL7tqaH+3jT/lUwmkc/nbXaG819yvpfzYvI863Q6jXQ6bVsUIwdMmf6lsZVrL/qZ\npzUVU+QuNQTsdqZYLNo0pI0pl8ttNXRyCOSiTLdTzqZUfrcaso3y7HBq2GmEGY1GbXwDGzD1xT78\nt1PenZ4B00B67l1PV9K7rVarTQID8w9OZv5bisxTIPR0cS9FDpamAUWmguU2kXK5rFjpFMhBm2L7\n/X7kcjnkcrmmFAm9Hn21cTQaNabD+41OeJkMYDs+fa+XdAjIVywWbXPPun5kDIfDyvmSl1tz0Dqj\nbKeVSsUVRuotvVe5+tBNxu3Bt1AamgZLp6idEbRuZ8gqHyMobQyjF67Gp8NKgy5Xnsq+GIlEbIGC\nzJS5UWR2SdoZqSGnfFppqNsZDiQAWrbRSCTiaj/UCx19UyaLDE4actCUGlYqFWMGhPO61FC20X7a\naVcDppzv0tMlpoUq5XK5aUAkJBsdYH/qCFdINRoN+Hw+BcfNqhMTExgZGUE8HlcrnabL03j5lS/H\nDafcgD1H91T3dN4d52HD2AacfsDp3WCqIivQtNiAAjl5Pxws+XNG1/TyLctSTw7gQqJUKoWxsTG1\nyCfvyeOw/3cYbnzTjdhrbC888NwD+MAdH4DX40XQG8SXX/1l7BDboWsuqaXOJ6NLySefICBTwvx/\nfKqAzsfXWCyGiYkJxReNRlGwCjjixiNww+tvwF7je+Gx6cfwntvfA4/Hgz1H98Tlr74cPm9fMweK\n0xQxSEPZDyNXJUrGZDI5t5JaY2Tn/M7D38EVv78Cd77tzr4NkmlBTCs+piT70TCZTBo1/OO2P+JN\n33/TXF/0AGe+6Ey8Yd83dMViSseaoi86nCY7w3k/2hkZfTFykXaG6wZqtRomJiYwOjo65zQGqzjt\nvtNw7cS1mJiYwGRxEu/98XsxW55FAw1c+eorsdvobn3pxyLnMKUdlYOitCe0M2R3sjM8McekoamN\nnnHzGXgu/xw88ODJ2Sexcd1GfO2kr/XNR4dE2lG2UTkoymwA60WyO40VXq9XHYCTSqVsGp76q1Px\nrfFvYWJiAo9PP4533/5ueDwerB9bjytefYW6v1alJ0vkNLcgG7Ic7fUKKJVKapUsAGMDZyV4vV7b\nMUiyIUciEVg+Cx/65YcQ8UfU/WzLb8OZt5yJTdObsGFsQ0+T8fqgojdkuQgJaG7EctGRbMgej8c2\n78D9QOy84+PjqiEHI0F87s+fQ8QfgQdzQp53x3m4+MiLsV9qP1z9wNW4+NcX49Ov/HTXfJLRNJjI\n8zdNfMwemPhk6px8LGNjY4ovFA3h85s+j4gvolI/H/35R/Gxwz+Gl+30Mpx181m4adNNOGmvk/rW\nT0Z/bjFSQy4gAGDUUGf0eDx4YOsD+NqDX+s5S2Di051WmX6TfOxr3O7ltoZ/eO4PePdL3o33Hvze\nvqMTnVM3tvqJL7qGpoGGdob3xbm6cDisfk5jG4lH8JXnvoKwL6wcqPPvOR9vfsGb8doNr8Xdf7sb\nD217yNUBU9fQ1EapIbdd6I65Zc0fJ0ddaGcAtG2j15xwDTweD2ZLszjuW8fhs6/67ED5ANgGS+ok\nB1PpDFFTfayQh7NTw2giiqu2XIWwL6zSr5++99M476Xn4Zg9jsHpN56OmzfdjNfs9Zq29+/KgAk0\nzy1QZLmiiY24UCjgubXP4Zk1z6Dha6AUKWG3p3fDLjO7oF6vz21e9QP37HyPLQ25c21n7BfdD6Oj\no4jH4wiHw/ivR/8Lb3/B23HpA5cCnrlKz1Vy+NBLP4Tb/3I76o3eHkLczti2MkSb4pvw7D7Pom7V\nUY6VsdNTO2Hd5DqVDis1Srh393ttbDtVdsLBxYOVMUokEvjGc9/Am/Z4E772l3nDes0J12CH6FxE\nWalVEPaFe5GwiVWPMHlahuSj57opvgnP7j3HV4qV5vi2rVOfVWqU8KvdfwWP9fw8t8fCuso6HFI6\nxGZsv/HcN3DqHqfia09+TQ3a1558LbyWF5V6BVtyWzAaGnXF4JqcHjcZqeEhpUMwOjqqGL+59ZtN\njFPFKVxwzwW48MgLce4t5w6ELxwOOzoDxWIRkztN4pm9n+lLQ7ZRne/+Lffjz9N/xk2bbsL6sfW4\n6KiLEAvEemZk0ad+5IMNpJ0plUp4PPo4/r7n31FBBeVoGeueWocdt+6o0pJllHHf+vsUm8fjwY7l\nHXFw8WD4/X7lmP8g/wO8bufX4TvPfkfNW/762V9j/x32x4nfPRE7J3fGRa+6qG82nbGVhtLOPLP3\nM6hZtXk7s22dYmzXRsfHxx3bKH//4z//OM496Fysjq0eCJ88NF5mQEqlEh6LPGbUkBkFakj9nDT8\nfu77Ng0ty0LYH8Z0cRoAkC1nEfAGOrr/lgOmHGhMaTz5bzlgytWeMg3CI4+4f6nmq+EFv38ByrEy\nHjrgIazeshqVSmUu3+wN49gtx9rmf8LRMEZHR9WA+dOpnyIVTeHIXY/EpX+8FHj+dndO7IydEzvj\n9r/cDjR6X+5tisDkebAUSXcG/PCj7q9jw30bUI6X8eiLHsXqLauVF++v+vHyTS9XXJw7iIxEkEwm\nMTo6il+Xf41UNIVX7vRKfP3Jr6PxPNwO0R3g8Xhw79P34kv3fwm3vfm2npn0CJoDpn5SBhtwsVic\ne2p5wzfPFyvj0QMfxZota1SD91V9OHTTofNcgm9kZGSOr/I8386vxNef+jo81nxH/Vv6b3j1t16N\nkdAIXrjqha6kK/UIbJCMTRoKxgYaOOfWc3DhkRci5AvZ7rFfPun0yMU5pjbqg3saHrHLEfj6U19X\nc0EH73gw3vmid+JFa16Ez/ziM/j43R/HZ171GVf0kwOmPGBAOuXFYhG+qg+NQAMbfjnH99iLH8Pq\nzXNGv16vw1v1YuMjG232JRKJIDI+xzk6OooHrAeQiqbwip1egeu2XAevb87YPjX7FMbD47jp1Jvw\nqZ9/ChfdexE+cthHeuYD5m2U7tTxZ4wYOVjm8/l5DX+9AZV4BY8e+ChWb16tNPTX/C3b6NjYWFM/\nlPN5W/Nb8bOnfobPHf05pUOvhX/LLIHUkD+TWchisQh/1d+k4Zota9Qga1UsbHxko02/cDhs1PDw\ndYfjui3XwfLO8Z3z4nNwwndOwGfu/QxGgiM4fJfD3Z3DZOfje8LrC2L0FVhsxJw3YHrHsizEsnNe\np7/gR82aOyGHHdwX9uHuNXfD65tfzfTCyAtxWuo0tWr05k03w+f14XU/eB0e3PYgzrr1LHzrxG8h\nFUnN3Sf/6yMlazJG5KPHyUaszkCs+JHIJ+bC/5KFureuFjN5PB6U6iXc94L71MS0z+vDhuAGnJI6\nRW2RueOxO+D3+fGOn70DD888jLNuPgvfee13sCq6Ctc9ch0uvPdCXP/66zEWGuvLIaCeXMxBPjZi\nnS+Xy8FfnePzer0IloKKj8UKWvjNfr9RbD5fM9/PHvsZfD4f3nHnO/Dw9MM480dn4rpTrsPq2Grs\nMrILHjr7IVx9/9X4wE8+gK+c8JWe+UxO3fZk/NQRn8IT00/gPbe+B8VaEQ9PPowP/PgD+OxR3ae8\nnJweTmHofHQGwuGwaqNu8L39Z2+f47t5TsOTN5yMkfAIAOCkDSfhX277l77YdD6pH+2OHCzz+TwC\nxQCSheRcHyzP9UGuBPZ4PKhZNfz2hb9VbF6fF+t963Fi8kQkk0kkEgnc89d74PP6cO6vz8Wjs4/i\nXT9+F65/4/UYD4/jhL1OgGVZOH798Tj/rvO75pNFcuqMtKO6htlsFv6KH/FcfC5qKlmoW3U1b9mp\nnWlqozefie+d8j2siq7C9x/7Pt6835v7XtQkByLpEMg2SifWZkcL/iYNyVetVuc1fJ6NGp40cpLi\nUxredy4em30M7/7Ju/G9N3wPp994On7yjz/Bvql9cflvL8cHf/JBfOHYL7Rl6Tolq0cnLDRGekNm\nIy4UCrYjl7xer5qX4yAr5zbjtThOnD4R4+PjmEhMqElq6Sl9+9hvK8/ixOtPxCWvugSroqvUfCAa\n6DrCNKVjZWfV+Xw+n/Lac7nc3HmI8MFbef7ECszdB4Wu1+vwV/3Y+MhGpFIpTExMqNeJiQm1mOl/\nXvk/ivNNN78JXzz2i1gVXYVr/3Qtrn7gatxy6i0YCY50K18TI//txOf1em184XAYvoIPVtWy8TFi\nq9fr8FV92PjIxnm25/VLpVLzfEf8jzqi6o03vRGXvvpSrImvwWu/+1p89lWfxZ5jeyIWjMHn6f4s\nS5OGgL2zDpIxFoshGo0aGTdMbMD9Z94Pj8eDp2afwlv+31tw0dHdpfQ65aMn7/V6lRGSbdSq9Kfh\n1478mlql/oab3oDLXn0Z1sTX4NCvHorPHf05HLT2INzx1B148doX950lIKuuHx0EOuRk9Nf88Dbm\nnMAqqkBjfusMr/1/t7/qdxMTE5hITmB8fBzj4+OIRqP4yi5fUSvUT7vtNFx63KVYm1iLl+30Mtzy\nxC04bb/TcPff7sYLUi/om41F9kM5ePr9fhVZqjYKH7yNOTtT88xlveRUGDVsZWdMGq6Oz0Xidzx5\nBz506Idc0U7ymdooH05hcwiqfnjrrTU84PcHKKbx8XGjhuR7y21vwReP+yLWxNegUC0gGUrC4/Fg\nTWwN7n36XncjTFnkoClDbYbzjFY4Hyn388iQX0Y4HnhUJehRAZd582QGeUyS+iw4wLqkNe9X8jUa\nDdvmXl6yTpgm5iDOuRZp5GTko28Ylt5dvVHHB3/6QeyU2Amnff80NNDAoesOxb+/7N9d55P1Lvks\ny5qbM4DHkY8aynk1uUxf/0zOPQPAef9wHs744RkIeAOIBqL40vFf6pttoRnlKTAmRlu7d9EYyT4o\n26m8ZBt1Q0O5h40sXzzui3jPLe+B3+vHmtgaXH785T3z6I6dk4a6nZHzdrQNJj5Zb3K7TNPGfcxP\nGVx41IU488YzccXvrsBIcATXnHhNr5IZnXnJJ22oyc5IO8rPkwOK/nmdaggAj009hj3G9uiZzamY\n+OTCHdUPxdykk4aynepbnpoOsfHMt6Erjr8Cb/remxDyhRD0BXHF8Vd0dO/9r9fvsazevHpu8EAN\nVt3C/nfsjxpqPX/ezafebOsEAHDexvN6Tlf2U/bI7IHYlhhKKMGqW3jRXS9CHfWeP+/GU25EIDA3\nKf23d/9N/Xx7sAHA7pndEd0StfH1o92P3vgjtQrzpeteijv/6U4A/c2Z9FsGyciy68iuuOft9/R7\nqz2VPTJ7ILrZPb6b33Sz4jtghwNw19vvcutWeyp75fdCcksSM5iBVbdw4N0H9tUHb3j9DWpOcefk\nzrj5tJttq3O3l52Jbo6iiKLrGgLAH876gxu32XPZqzCn4TSmXdHwB6/9gdLwyN2OxJG7Hdm1jXH3\noMdhGZZhGZZhGZZlWjzbK0oZlmEZlmEZlmFZSmUYYQ7LsAzLsAzLsHRQhgPmsAzLsAzLsAxLB2U4\nYA7LsAzLsAzLsHRQhgPmsAzLsAzLsAxLB6XltpJqteq4Ikgux5UnNPDAXP57y5Yt2Lx5s3rl+3Q6\nrfZ2yYcicyOyfmQVX3k0Hi8e08WDk+UiJtOCJr/fb1tHXKvVOlr1xGPFJGexWEQ2m1VcmzdvxrPP\nPqsYucdIPtia+6BsR+IJPh6rxvNI+Z6PL2vFBgA+n8/GV6/XXeEjl7zq9XoTm1t8TsWyrKZ14Mud\ncbnzQe0EbV06sTM6ZzqdbrIv0s7ox1M62RletDMdlJ4YO9GQVyca6ly8aDflNTY21rGGvfItcQ2H\nEeZSLMOVzcMyLMMyLAtfXDm4QD95QT4Imk8Hl0fD6Rcf3yJf5WfwCfB86Kv8XP3UDt7PIIr+9BX9\nMvHJutH55LMJdT69zhZikGzFJ+9H5ySXPCS6X75BHVqw3BmXM187O+PUB5041ZmkDoymetreGrZi\nNGmo/y2fR6zruFB8S11DVwZMPnamVCqpJ3zzzMPp6WnMzMwgnU4jm80in8+jWCzOPVHg+cPZfT4f\nKpWKOtqIgsqnR+Tz+aZDpfkk9Gg0Cr/fbzsmSj8yqt/Ch+vyvFFe6XQaMzMzmJ2dRSaTUU//5pPQ\nJR+PoSqXy7ZT+SUfD2iXD8rl7+tHYbnJSD4ePi75pqenu+Jjg3XiA+YP63fi0zmHjEM+Pu1H2hna\nmqmpKWVnyMi0n4lP2hn5YAie06qfqWyyMybOfksrOyM1lLa0Uw2LxaKymbQz5AuHwyiVSgiFQgPl\nW+oaujZg8iT9fD6PTCaDdDqNdDptq4RsNqs6KytBnh3Ii3l8nnnIsx31A3uZvy6Xy+r/8bxHeTai\nG2JLRjZgDpZTU1OYnZ1tcgp4kLx+RiIPbOeB35KRf8P8PJ8qz4emmvjcKORjR5V8rTqqiY1OATuo\n1LFWq9k6aSQSceTjq1vR9XJnXCl8eh/MZDLKzszOzio+OgU6G9879cFQaO6xa5IxGo022Rmd040i\nGbPZrKOd0Z2eVhqSkY9WdLIzdHr0M78HxbcUNXQtJcuIUEZd09PTjoMJK4GH8MoDo0ulkuNiGTlY\nRqNRFAoFm9DywHJ+phtFeu9syOQzee/yae/yvii03++fe3amxgjA1ojj8bhyLnQ+r9er7k8/qLrb\nYmrInfAxM6AzmhYh+HxzzU3qp/Px74H5p6kPsrMuJ8aVxEfHXNoZUyarVCoZ+yAPWy8Wi0Y74/V6\n1UOOJWMoFJp7wsvz58fyvVulnYYzMzM2p6cXDWlnpIaJRKLJzki+oYZzpeWA2aqC5BcwJSArYXp6\nGpOTk5iZmWmqBHZWObrL9yZPQj4tgRWQSCRsIbs+gLhRyGny3qempmxekcl7d2Ikm85oWZatEbOu\n2CF4qr8cIN1Ie/HhtLKjkq9VOk/n05+UoWvZjm8QGq4UxuXOp0/9cDCZnJxsmvqRjCY++XQLnU+u\nMJWM5XJZPT6LjIOe+qGGtKX9aKg/kUfaUQ6+1JDFbb6lrqHrKVkZYU5OTqro0hRhOuWRncT3+Xw2\nrzabzdoiTDmAuJG2lE6BboxmZ2eV0GQ0NeRWjCZOr9eLSCSCeDyOkZER5PP5tnxulHq9rjpqNptt\n4tOzBKVSST2othWfyRnS+dhRTc/o1HUYMq5sPlN0sm3bNpudyWQytuiE99KKT/7b5/MhHA4jFou1\ntTOSz+0IzKShbku71VAONFJD6fQ4aehGWeoaujpg8gGnrITJyUlkMhkVeelzmCz6Tcp/y+jJ6/Uq\nb2FkZER9Fr0G/p7bIpPRlJKdnJxENptVnJzAZkM28elc8tXv96tGTJEZQfP3mOZaiFSQriH5isWi\nI5+Tfk58Uj/+LlezLURKdrkwLnc+Tv2049Pnv0x8Ji6+93q9iMViTXZG74eyL7pVWkWY5JN2plcN\nA4GA4mN96XZ0EHZmqWvY1YApO4B8kKdcRZfL5WyT1frgwfk5fd5SegpyubF8bbfc2CRutx1VZ+S/\nnRgzmYwyGHxKOtPGAIx8Ho/HxibfO21JMdV9L0Xn4tWOr1KpqNSPW3wm/XiP/ZTlzmhiazQaKBQK\nio9GZ6nydapfJpPB7OyszRh6PB6VjZIpSP3iis1O7IzpnuT9uqWhZCSfbmekhpFIRKUXTZGkzua0\ndUPamoW2M0tJw44HTH6BvBm+ygqQVzabRblcVimDQCAAj8cDv9+PRqPhOCHN+VB6F7y4pFhWYCf5\n504HTdlodM58Pm9jpKeey+WUEbEsC8FgUL3KSXc+4ZxLmslERr7anhov0tOSxXR1wye5+L4VHw0t\nJ9Hlq87m9/thWVYTl87XSj/5s274VgKj5NP7od4HZVZnKfLpr9RP1zCbzaJSqSg7wz6m2xmdsVqt\n2mwM38u5WDn4uFXaaWiypa00dFogSTtj0rEXO9oL33LTsOsI07TRtFUlyHk8uULL6/UiFAqpi/uD\nuKeLnhU9EI/Hoxa8dFMJvRhb02ZhySi9o1wup76DAvGp5VyFxqP++N6yLJV+oPfIyJrLwWVD7oXF\nqbTSUO6flXwsdAQkn+Qy8ZHRia9V6rxbh2ClMEo+uQG9lbFdqnymPqjbmGw2a5uTop0Jh8NNdkb2\nx1KppPofL93ODGJA0Rl1DWUblU4Pi66htJ0mO0NGalir1bq2o/3wLScNWw6YesjKwYQbRblp1Mlz\nz2azthWu8jUYDCIajaqLq5m4VUSu7mNqQW5adeqspsirVSXpoTiFlhtidUbJl8vlbEvu5XvJxCsW\ni8GyLJW3p6dYr9fVdppuRO7Fe9c1LJfLTXyyo5rO/NX5YrGYeu/1epV+k5OTytBKPtlRB+G9L1dG\nySfZ2EadIsylwge07oOmLBbtjM7GiERyyatQKGBychJTU1Nqb55uZwbdRk0amnSknTHp2E5DMkoN\n+feDdgiWm4Y9RZisAG6KbRVhch+M9BjkcuZ4PI5EImG7stksIpGICssZdstUgqyEQRgjLmIqlUpN\nJ29wfoHv6QXJfT/hcNjIlkgk4PP5sGXLFgQCAeXxcTFRp957r9y6hmR0asi5XE7x0bM18SWTSRtf\nLBZT6elarYZSqYRsNmvsqCauXlLOK4VReu/yAGunfrhU+dgHudiulWNOY6nbGR4WH4/H1StZaWeY\nvuS2sUGnLNtp6OT0hMNhZRO61dDr9do01PkGsUhyOWrY1RymFFketyTnMPXKYP6Zc5hcypxIJJqe\nOMJrdnZW/U2tVkOhULCdWK9XAkurjttp0RnlKRlOYutzl3Ilr+m0fL/fr36fi6ay2azKz3frvfdj\njKhhKz46Aq345FMrJJ90BnjwhNPcghNHPwPmcmTUI2idz2Rslwof10owhacfzefE2Gg0bGskTHZG\nv2hTACinXLczg0xZdqKh3ka5CIYaxuPxpieO8JWZPGrI7UbUcFAR5nLWsKsIk4t+ZEVIg8RKkav1\nAoGAWsVFkZPJJMbGxjA+Po6xsTF18d+xWEx5CplMBtFoVEVjg0oDkU8yygjFibFYLKrVhvSK2IjJ\nMz4+bnsvFzZls1lMT083rRxuJXKv85pOfCY2uaS7FZ/O2Clfp45Atxovd0a50s/EJxd2dNpGFxMf\nALXwztQHJZe85HFvJjsjGfk6PT3dZGc4wAx62qCVhk52JhKJAIDaYxiPx5t00zWUzs709LSKNnW2\nQTgEy1HDnvdhdroMl/Byk+zExATGx8eRTCaRTCYRi8UQDofVcUaE06NaTo63Ol3fdI/yd3oxwK3+\nTW9InnwyNjaGVCqloud4PI5IJIJQKKRWIPI+nBYaScZW99TvNpp2pRO+RCKBaDTaxKcbBhNbO/0a\nDff2Ya5UxuXOJx1y6QzQzoyMjNjsDFeWMg2pO1mSkZz9bnXqt3g889ssuL+QGo6NjalUJQcMJztj\nYuxEx0GXpaKhKwcXmApvzuv12lKxrISJiQnE43HEYjHEYjGVh5aVwM8htF4JneylWQhjJE8gokeU\nSqUwMjKiTppgQ+ZZnLIhk0c6BFJkJ66FKE58q1atUp20HZ9MkeodtZO9Xv04PEPG5c8H2B1zppon\nJiaQSqWUnYnH4zbHXA4oTqtW9T1826tQQz3yWrVqlc3O0DF30rCXwGOhylLQsO8Bs90N6F7DyMgI\nxsfHkUql1IQuJ3c7jTBbVcJCC683ZOn5JRIJ2xPA6b1zr5HJe+depIXy3tvVl25sdT75pHOdD5hP\nzUgN9Y3Fnd7LkLG3shL4nBzzVCpl64N0zGlsec9OAwodc1OmZ6EZnbIEtDPtNNQDj26dnkHzLQUN\nXXtaiVNlt4ow5WO7+L6bSnAaUPh3pvvqZvFBJ8VkjEZHR5FKpdQKNcnn8/lsg5w0RibvXTI63ZMb\n3rvTZ7Oj6p6tiY/RieTT5xPbddRBdtqVwLgS+RqNhnJa9amfVCrVZGc4jyfnteSAshgjsFaZrHg8\n3tbOmLIEiynlvFQ07HrRT7fFNIc5Pj6OVatWqT2a8rVVmO00mAxa7FbfoXt+siFHo1EbH99Lz6/b\nvLu8F7fmh1oNyK06Kvkkm8/na+LTNWynnxsOz0pkdCrLnQ+wO+Z0WmlsdTa5P0/ea7t+uL0jMKe0\nutRQMrbLZC02p2ApaDiwOUz1BT6fLcKk1zAxMWFbii49BaeO2q1n1G8FdfK3rVKy4XC4icvjmdsr\n1O/80EJ59K3SeVy1J/Vz4msVnWzvstwZVwKf7phLY2uyLx6Pp6P5r8XEKLMETnZGXuVyue1aicUy\nWC4VDbsaMLlEV57eo6cBTPt6+F73Dvj/9MKKkN/Dy+ude4YZO7DcJxkMBlWemp/RTZEi8HvZyLjy\nTDLq98t7lpwmRvk9kpF1SK+QW3dMfPzbXvl4qkYgEECtVlNPYnfio36SjykR+Xssel1IPsuaPzS5\nlX5er7frCHq5My53Pn6v7IPValXZGH2vssmA6vdt6n981b+LjKwXaWe4f9BNO2PSsNXBECYbozPq\nfE4aSj4nOzPU0F46HjD1gUR+Gc+CdeqsgP1gc7lQQI8q9cGV8Jzw5X7Men3+gc6ZTAaBQACVSkXt\nN6NX3YvQkpFeic6oL9mWl2Tk4Kdzyu/hmbNy4RMAtQ8ul5t7DA4XR/Hve23I7KTk83g8aqm2k1Ng\n0o98emc1GQOdj8ZWPi5N56PD0W1Z7ozLmU/v/9zHLfl0g0u2Vn1QfjY/T7czPJOVJ5PRKZDPGA0G\ng0Y7MygN9QGTbCZGk4ZklMENv0PaGcrEJswAACAASURBVPJJDXlPQw3nS1c1IW+OA4llWcZKaDWY\nMESWFcD3fJUDSieVQA+N98R8eLd8siGT0ev1qgFTGiO9IZsMUis+2ZDJJxddyAfJhkIhW3QpG2I3\nhX8rO6muockhcGKUHVP/HpOxZUfVjW0oFFL6sQH3wrcSGFcyXygUsjnm+j2364O8N77qjqtcsW9y\nzJl1kvUjB4R+GU3BRzd2xqRhK8fcZGe4qnSoYXPpOiXLDiRv1FQJumerVwInpPVIVHq3FEsOKE6V\nwEFGT6e2m8fUG6PuFUtGUxTt5BHRKdAZ+X16BB0KhRCJRByNkRSUAlP0Tos+UEsHyKmjOhlaE187\nh0fyAbB1VPLx/oLBYNd8K4FxufMBzXaGqblW0Qn59OirVqvZpogkpx4FSUZpZ+iYSzvDwURm29zQ\nsJ3T04uGumPuZGeYqZN2kKfvDDWcKz0NmLIz1Wo1WxrBqRJMgwphTEI7hdmsBN0zYp6bFScjsk6L\nbGA6ox5h6qkSyWlKJfD3pbdlSpXIlGwrPu6F69Xza6Wh7vk56adrKD20btN5rNN++VYC40rgk32Q\n99AqOtH5JCcw37clX6eZLOmY07b5fD71+706BU4ach+lyemRrG5oCNjtDAc4aUeHGs6XrucwZWUQ\nzhR9mVJBekflZ+kesF7JUmhWgoww2VHp1YZCoZ46K7+XDbQbxlbGSP5/2ZBNqRJ6Yrox0gXmw2S7\nKbqG9LR0Pv1YLamfzig1lIzsdLxnOgSSjx2VB9izk4bDYaVft2W5M640Pqc+aHLMyUg+OfWj88ls\njTS2rdJ57Pc6I+vUDQ1bpWRbZbJMjPLz5QDoZGd4wLu0o5FIZKihKD3NYepFrnwypWQJziW/fDQY\nf48imVIJclDh/B4HNLm6i95LqVRSS4p7TSWwyAp0WgmsM3JJs/5sS53P5BQEg0FbY6vVaupQZqZr\nJF+vA0o7DfX7lY23Ez7Wo95ZnfjYkIvFYt/6rQTGlconDa0cTGgPOIiQj4d+Sz5+Pl91g7tQdqYV\nIzN1MpMlGaWG5XLZpreTndH5ZLSmayj55IDlFt9S1tCVfZi8aXlJz4JLernac3p6WnVu/ZKVbIrc\nOIjpgyovDmamlKlbrPx8XjJHns1mMTs7i6mpKZTL5Sa+YDBo+zxTasXEpzsjMhLuJW1p4jJ1NOmh\nMdrthE/3BNvxOennBttKYVwsfDT0g+iDulPNS0ZK+Xwe6XQaU1NTjnbGlNmS/dDJzjj1Q7cZdf08\nHo+yM9RwZmamIzvjlMKV37WQdnQpa+jqwQW6yLIS9AFT5rO5hNmyLPj9flUBfO2lEvRUVK888vtk\nylZvyLoxmpycVEuXw+Gwms+UfLoxYsQo0ymt+BbCIZAdlXMAMzMzjnw+33yTMqWP2vHpXrX8/SHj\n0uAblLHVnQHJCaClnZFbJXQ7Y+qH3TjmbhYTm25npIbbtm1DuVxW2+50DckhU/EyM9XKjsroz00+\nJ05g8Wvo2oBp8oicvIbp6Wl4vV71pBIAqgKk4TDNubSqBIqspzH65dIZnbx3RpgzMzMq98/8OBux\nfuRYO89PpsScHAK3ilNn1flmZ2cd+UzRSacRtNTPbUO0Uhi3N98gja3k07M8+nwq+Xw+H2KxGKrV\nKoB5O8Oi88nTb3RGuahxkIySk9Gfk4bRaLSlhiZGubaCdbI9IuilqGHLAdP0IU4DkGkwYXpV9xpC\noRAsy7LthZHbQGQlyEGzW69hISMwPcLkSRJ6I5aN1dSQpVPgZGzloNkuJduphk6en4lvZmYGwWBQ\n3buJT36XKUvQKhU0SGO7nBkXE99CpCulDTBlsvjA62q1ikajoQymvhiwm3TeQqWdTQGIaepHtzNc\n+NKJnZF8Jsd8UM75Utaw6wjTFLXpHdXkNchKkJOxHCxDoZDyILqtBN1rcCslqzN22pDlPjVpiJgy\noTHSI2juN9L53I4wnSJvk35OfD7f/OEVXq+3ic/UUSUfgCb9nIyt2+nK5cy4WPgWIhOi2xn9ZKxW\ndkZP4+mMup1h/3OaGnGL0ylDYHJ65F5KaWeYXpd2Rk9Xyr8zaWiaNnCzLFUNXU/J6hWhp2S5zweA\nrQIikYhjJeiDpqwEfUDhzwYVoUiv3SndxcGSItEQya0gTmz8mc7Xag7TbWOrN2Sdj/MjspNGo1GU\ny2XFJxl75RtEWe6M25uP7wcxmLTi06MT2hlGwLQz0WhU2RnJaJr6ISMdADmYLJRToNsZ6fToTnkg\nEGiyM+RzijAB55TsoNZLLGUNexow9QhFjuBy/04sFrM9/ZsDJ2+Uy4v113Q6jWw2i3w+j0KhoJb/\nysGSf89FQ3xwKj1neiZuFemFcf9ONBpFLpezrdhig6YzoLMxZZLJZJDL5Wx88kgqNmB6jOSTS7Kl\np99vkY2SGjrx5fN5lf6Rq9bkkm6poROf3Dcl9RsE30pgXAx83P82KL5WdkZOAbWyM7xmZ2dVP+R2\nGG4xYETjpGGrfYT9Mpr6vjydRw6c0s5QN/nvdDqNXC6nNCyXy01H37Vqo4PgW8oa9hxhykFTejiy\nAhKJhLpRCk0v17Kspo7Fz8xkMpienlZiF4tF2yZoOXDRKESjUdWo5H5Jt4pkZKXHYjEUCgV1MofH\n40GtVkOpVAIwvy9ODuAejweBQABTU1OYnZ1FNptFoVCwNWSKLOuTfPKUjF69P1NEykYs6zQej3fE\npze6YDDYlk9vL1I/Oj1uZwqWO+Ni4NNPcnHT2MrvZNaGdoY/k04BIxfpRHdjZzgY0dBGo1HEYjHV\nDwfhFJgGk3g8jmKxqAaxVhp2Y2dk4EGbptsZv98/1FCUvlKyMrfsVAk0/syZM+XTaDSabpbhdC6X\nU5WQz+dVJTDClI2KleDUWQdtbEulkvIIZUOuVqu2NJVk7KQh698Vi8VsfPxcNwZLySe9sFgsprw8\nt/j4XdIhMPG5rd9KYFzufHpmiXzJZFL1GdoZeXqLXN9APt3O0NjKlLTs89vDzvA7OWBKB6tWq6FY\nLPatocnO6IHHUMP50vccplOOOR6PI5lM2nLJrIRyuYxKpdIkcL0+d8JDPp9XlZDNZh0HTFkJsVhM\nee6D9m75nYlEQnl55OOJRtKDoxCcjHZqyHLZtG74otGoSpV0E510Or9p6jzt+OR8cad8JodA8ukO\ngZtluTMuNr5BZnlk9JVMJm37Q8kAzKX2pJ3h/+vEzuipURpbXcNB2RndMad+ABRDsVi0rauQjIFA\nAJOTk5iZmWmbJZB2dKihc3Fl0Y8pPcMIk52MxxzxKKJSqWQbLOVxT8ViETMzMx2F2TIly7z2oAdM\n6Y1xbkey8ZWNUmcMBAKYnp7uOsLU8/gL4dm245MLj8jn9/tb8jl1VMknHQK3ynJnXCx8pqkWt/ik\nY67bGcnGiyk9nY92xpTOk465KZ0n5wgHMU+rG3hqKNnke96rzig1zGQyyOfzbZ0eUxsdajhfXDsa\nzynM5sIdTlRzDpOekowsuf2kXC4jnU4rkTuJMKPRqPIm5Eo9t4rekOkZcfIdgDrftVQqoVgsqgGe\nHhEbABc2dTOHGYvFjFtM3Jr/chqkS6VSWz424k75nDqqacWzm3OYy51xsfK5VZyik3w+b7MztDXF\nYlHtT9TtTLlcRqlUQjqdbumY6/UZjUZtfAvhmLeyM4VCwWZnuE6knYbbi2+pa+h6hCkHExlFVqtV\neDzz+8Gq1apt8lZ6DZVKxbayi/CEo2fAFbK86InIa1DeO70iekBsqGSl0E6eXy6XUwLrm3LpEcmJ\nfz5hgFxur14zzQt3wyfTJO34pH4LxbcSGJc7n77wTs7vcaGI5JJTP4C9D9IGSTvDKRHOCXJNhlyJ\nH4lEmvjctjP6Snxdw3K53MQq7QztaCAQQC6XU6lKqaFklHY0EokMNWxRXIsw5Sgei8WUJyMHRXbY\ncrkMALaOyjQtV9M2Gg34fD7VCcPhMGq1GlKpFEZHR5FIJBCNRpvm86THzgpwawWiDO3puesGR0bK\nvCeKTC+Rc0iWZaknBwSDQcRiMUxMTGBsbAzJZFJNTpPP7c6p89HYMlrQ+WRn7IaPr7FYDKlUysbH\nbUeSz6ShW4zUcDkyDpKvVRtdSD7pEJBPOt8AbAZVToswgqYjzzlBn8+njmBzsjNkXIg26vP5bNFX\nKzvDxUAMRuTPqaHX61Wnq7Vqo3Lh0FBDc3F1wGRH1fPkMpQulUoqaiQwK4GVwp+zE8oDd1kJyWQS\nZX8Zr7v7dfjuCd/F2NgYHtz6IN734/fB5/Vhz9E98d/H/jdC/pAbiE0DimQEmg1RIBCwOQsUnyvc\n+JlcyMPPGB8fx/j4OJLJJD7y9EcwMjWCwCMBrB9fj0uPvRRPzDyBs24+C5bHwn6r9sN/HftfrjsE\n5ON98t5oULvlC4VCqp4kXywWw1m/Owujj4zC7/djt5HdcPlxlyue99/+fuw9sTfOevFZffPxfnQN\nB8344b9/GCOTz2s4sR6XH3c5HnjuAfzvn/xv+Cwfgr4grjn5GqyKrlrUfHobpbE18T0y+Qjeddu7\n4IEHe47tiStPuBJeq/+FIyZjq8/DSqecg4bJMefnydX6up0ZGxvDxbmLkXwqicCzAaz/y3pceeKV\nqs6+9dC3cNlvL8PP3/HzvtkkI/thNBpVc3oAbDp1amfIw4wV0Gxn/uNv/4HRbaMIPDyn4RWvvgJ/\n2PIHvP57r8eeY3vCAw/OPuhsvPEFb3SFbzFouK2wDefeci5mS7NooIFrTr4Gu4/t3vb+XU3JshLk\nQcAyhGbOvVAo2AZIVgK9JKYlGVbz1e/3Y2JiAqOjowjHwvji37+IiH8+hfCu29+Fi191MQ7Z8RBc\ncPcFuOJ3V+C9h7zXDcSmAUXO5ciGSka/f+5wYOn5yfrQGfl+bGwMY2NjCMfDsDIWvnLYV5BKpdSy\n63/72b/ho4d/FIftchjefcu7ccNjN+DkvU92nU86A3IOtlgs9szn9/sxOjqqjK0/PLen7PoTr0cy\nmVQdf1thG8744Rn48/SfsU9qn77ZdEb9ZKlBMVLDqw+/WmloWRY++NMP4pJjLsH+O+yPK39/Jf7z\nF/+Jzx712SXBZ2qjOt8Fd1+AT7ziEzh050PxzhvfiR8+9kNX2qiezuMGdXnPHEiKxSICgUATE1PS\ntDM6G9N4qVQK8dE4rGkLXzzoi5iYmEAqlVIR+f1b7sc1f7hG3ZdbxdQPuXZDDiSlUkmdnMZ7kA4R\n3+ttU2o4Pj6OSCICK2Phq6/8qk3D+5+7H+895L34143/qjJ3bpTFouF/3PkfeMsL34JT9j0Fdz51\nJ/609U/9D5idbknQK4EV4PP5mryFhwIP4amdn0K5UUYpWsK6J9dhzZY1apAt1op4YP0DsLwWvJYX\nltfCrvVdcYTvCEQiEWWMrp26Fm/c7Y34xl+/oQbMZzLPYOO6jQCAl657Ka66/yq8b+P7Wt57t9su\nQqGQbbC0LKtpsHxu7XP42+5/Q92qzzM+twbAXEqh1Cjh/j3vV3xey4vdPbvjqOBRGBkZwejoKJ7z\nP4cyyjj33nNheS18/IiP4+C1B+P+LffjsF0Og8fjwTF7HIMf/+XHOGnDSR0xtOKXTo9c4UtPlfrl\n83kEg0FM7zqNmYkZNLwNFCNF7PTXnbDj1h1VGqjureOudXfZdFzvW4/Xjr1WZQieqT+DUr2E024+\nDbCAjx7+URyy4yHIV/L4yGEfwa1P3NqxPp0U3Ri1YuxVw6NDRysNt/i3oIIKzv3lufB4PfjEkZ/A\nwWsPxtdP/jrWxNfA4/Gg2qgi7AsvGT620bGxMUe+b7/+2/BaXlTqFWzJbcFIaMQ1PrZRffGRyc48\nudOTjnamVC/hD3v+wdY+d2vshiP9RyISiWBsbAzbgttQ9VTxgQc+AMtrzTmqicMwVZjC+Xeej4uP\nvhj/fNM/u8KmM8rzUmlnZHaglZ3hwFKsF3H/HkJDrxd7ePbAUcGjMDo6OmdnfM+h0qjg7F+cDY/X\ng08d+SkcvOPB+N3m3+Hxqcdx42M3Ys/xPXHJsZcgFoi5xre9Nbz36Xux/w7749hvHotdR3bFJcde\n0tH9u56SlRVA40tvIZ/Pw1/wox6oY99f7YtCpIBHX/QoVj2zSkWhKAEvfvDFSCaTSCaTSCQStveJ\nRAL3Fu/FDvEdcOSuR+Lav1+r8tK7jeyGe/52Dw7b5TD86M8/Qr6SdwMPgN0YyWX1Xq9XeUSFQgG5\nXA6+sg+NQAP7/GYfxZh6JqXSXP6aHy97/GWKa2RkpImxYTVwxoYz8PYD3o6tta144w1vxINnPWhL\nXcSDccyWZntmkoORjE5MfIxKcrnc3Lyx14eav4Z9f7svipEiHnnRI0g9nQIwZ3CDwSCO2XzMPFsi\n2cRYapRw9gFn48yXnImni0/jxG+fiIfOfgi7je6G3cd2x61P3NqHYs1F7slqx9iNhlI/yVj31HH6\n3qfjHQe8Q2n4p3/+E9Ym1gIAfvn3X+Ky31yGO//pzkXN59RG65aZz2f58NfZv+LYbx6LZCiJ/XfY\n3xW+TuyMirwc7AwjaWlnnPSzvBb+KfZPeOt+b8XW+la87da34cGzH8SZN52Ji46+CGG/O46OLPIY\nN6mhz+dr0tBf9isNVR+UGlbnNCSfzsk2esY+Z8xpWN+KN3z/DXjo7IdwyLpDcOaBZ+LAtQfik3d/\nEhf87AJcePSFffMtBg0fPudhPDnzJMYj47j9rbfjY3d9DJ/5+Wfw0Vd+tO39u75KVm4xCYfDylvg\ngcH+qh+jxdG5fHM5jLplPxC44qngTy/5ky2FsG9gX5w2fhrGx8cRjUbxkz/8BD6vD2fcfQYenn4Y\nZ992Nq5/w/W48oQr8a+3/Ss++fNP4tCdDsVsaXYgk9Uyovb7/UrgXC6HcDgMf8OPRD4xN9leCqFu\n2Z/RVmqU8Mc9/mhj3N/aH6fvcDri8TgikQhWh1fjJeGXIBQKYe/o3hiPjGNLfgssz/zEeKaUGYj3\n7vHMPyaIfOykPCHDV/chno3D4/EgUAygbtXVCRvVahWhRAi3rb1tfm9sJYAD6wfizFVnqk3u48Fx\nvDjyYvj9fmyIbcBYeAxbcluwY2JHAIAH7i5uolOg7yM0MQYagc40DAgNvXMaJhIJRCIR7BDeAQeF\nD1Iakm9dch2+/adv49P3fBo3vvlGjEfGFy9fmzZ6UMTMt+vornjk3Edw1e+vwvtvez+uPulqV/hM\nfVDamXw+j0gk0p2deV7DF/hfgH+c+EdlZ9aG1uLgyMGIRCLYN7ovxsPj+PUzv8am6U049+ZzUawW\n8dC2h/D+296Pi4+52AUFzRpyYWOTnanP25lgKdikYRllexv1+XGAdYC9jYZ2wEGRgxAOh7FPdB+M\nh8fxXP45vH6f1yMZSgIAXrvPa/Gem9/jGt/21nBLfgvGI+M4ee+T4fF4cOKGE/HvP/33ju7f1aeV\ncOWRz+ezrV7ikUZer3fO4OP5lUlofpCyp+7B/r/fH6lUCqtWrUIqlUIqllLLg/1+P64+7Gq1RPjU\nW07FpcdditXx1bj2V9fif07+H4xHxvG+W9+Ho3c/2i08ALAtRa7X6017eZgaliuvJCOF9lV82Pjo\nRqxatWruGl2F1ETKtun7B3/9AZ7IPoGLjrwIm3ObkS1nsTa+Fv9r9f/CXU/dhcN2OQy3bLoFR+x2\nRE8splRnKz6bhpYFT2N+BXKj0UAD9qcheGteHLfluDm+kVWKVW5qv/4v1+Px9OP47+P+G89mn0Wm\nlMGa+JreBeqgmNqpidFjdanhyCqsmlilTpry+/244a83YFN2Ey4+8mLFtzaxFl9/4Ou48vdX4qdv\n+ylGw6NLg09ro4FAQLXRi181x5ctZ7EmvgYnfeskXHT0RdhzbE/EAjFXFvzofLKNSkZmm8jVzs6Q\nL5VKYVV8lXIUA4EAfvj0D/GX3F9w4SsvxJb8FqTLabx8l5fjwXMeBAA8NfMUTv3eqa4Nljqj1JB9\nxmZn2mholS1sfHQjdthhB6XhqtR8G6WGm7Kb8LmjPjfXRstzffDQqw/FF479Ag7a8SD85Imf4CVr\nX+I63/bQMFPOYG18LQ7d+VDc9PhN+Mf9/xF3Pnkn9kvt19G9uzZgLoay19heOOYbxyDoC+LgtQfj\nrfu/dfvdTJ9Tb6fsfgo+/NsP44TrT4DX68WXX/NleC0vLjzqQpx141ko18rYZ2IfvH7v17tzvz0U\nGQH2Eg2eutep+OAvPoijvnkULMvCVSdeBctjX1wwiC00HRc3NPzNh/Ga618Dr+XFVSdehUajgX+5\n7V+wS3IXnPLdUwAAh+1yGM4//HwXbrjL4lIbJR9Xw/6fQ/8PTr/hdAS8AUT8EXz5NV92534XuLxu\n19fhgvsvwMk/OBmW18KVr7nS1j4baLieBem69KvhHqfgP37zHzj+uuNhWRa+ctJX4LW8uPz4y3Hu\nj86F3+vHmtgafOmEL7lzvwtcdA1pRy86+iK884Z34rLfXIaR0Ai++bpvdvR5Cz5g7lXYC8ktSUxj\nGlbdwoF3H4g66u3/0KH84LU/QCQSAQAcv/54HL/++O1rZAHskdkDsS0xFFGEVbfworte1DWjz/Lh\nksMvUZE0l4SvH1uPn7z1J4O47a7K2q1rMVYcQx11WHULB/zsANRQa/+HovgsHy476jIbnywfOfwj\nbt1u12WPzB6Ibo72r+ErmjXc+r+3DuKWuyqu8R1+ie3xU8Dcgru73n7XIG6747KhsAHJzf3ZGZ/l\nw0WHXqQOZaCdYdl1ZFf84oxfuHnbXRW3NPzCK77QpOEBqw/APaffM4jb7rgMUsOdkzvjtrfe1vU9\nedxchTgswzIswzIsw7Jci7tnjw3LsAzLsAzLsCzTMhwwh2VYhmVYhmVYOijDAXNYhmVYhmVYhqWD\nMhwwh2VYhmVYhmVYOijtVsl2tCJInubDkxr47y1btmDz5s3YvHkznn32WfU+nU4bz+GUZ2HKx7Hw\nPY900q9wuONTN/QltB0x8kgqyVksFpHNZhUbLzLKc3HlFQgEmrh48Vg1eY2NjSEW6/hYqpXGtxIY\nF5xPPvdV59xefP3YGdMlH/mkvy4HOzPU0HUNhxHmsAzLsAzLsAxLJ8WVAZOnL8hTGHgItzqM+/ln\nXMpXvpf/5sW/0T9HHv2kf8agt8g43afOaOJ0+jv5nk9SN33ekG/IOCg+0+X099uTrxc700o/E99S\ntTNDDRdGQ1cOLmg0GupgYJ51yNepqSnMzMwgnU4jk8kgn8+rcJziVSoV27FIlUrFdmp9oVBQzxys\n1+vG82r9fr/tgdFuP/hUPhqJT6LP5XJIp9OYnp7G7OwsMpkMstmsevo3j33SGf1+v2LkGZ/5fF49\nCQWA4guFQurhp0O+IeMg+Mgmj18jn6kPbi++XuwMH7As9SNnuVxWKdClbmeGGi6Mhq4MmBSsVCoh\nl8shk8ko6OnpaVUJFLlQKKinbPNsS3nWpawAniFLUfUDe6PRaNODVHkOIyvELUY2PDbgdDqNmZkZ\nW0PO5XIoFAooFouo1+tNbGzMZCQbH/DKv2F+nnx8fij55OuQb8jYDx/ZyuWyeu/3+22PkpKM25Ov\nHzuja0jG5WBnhhoujIauDZjSa8hkMpiZmcHMzAympqYwOztrqwR6DTxEWB7q7fV6USqVHCex5YOq\nY7EYCoUCyuUyqtWqDR6Aaw891Rmlx8dLNmTp+ZFJcrKhFotF2yISPgyWgku+SqWiPqfRaMDr9arU\nghuNebnzrQTGXvl4XzqjvsiJ7xcDX7d2xmRrfD6fTb+lbGeGGi6Mhq4OmHz8DD2iyclJo9fAlCxv\nWo70skLk6fzySdr0FuLxeJPQXu/8kxEGkc7jY8rYkMno5PmZ+OQz7nROj8ejVgknEgmbh8UGTLYh\n35DRLT69L+qZn8XA16+d0XXU+Za6nRlqOHgNXZvDrFarTV7D5OSkqoB0Oq28Ioqj54956YOnNFD0\nFuLxOEZGRlAsFpXXIOHpMQzae5+cnEQ6nbbNLZCvVqvZmHRGySYZKbCcp6hUKmqimn/v5uT8cudb\nCYz98OlsnPvR2bYn36DsjM65VO3MUMPBa+h6hMm89PT0NLZt24ZMJmO7crmcCrPlzenv9UlZAErk\nRCKBZDKpvCx6DSyWZakVUW4VfW5hdnYWU1NTmJycbOKjZ1Svz5+sb2LVJ5s9nrkHN1Ngdgopst5Q\nhnxDxpXE55adMb0O7cxQw3alqwFTX5LL93JiWU7kzs7O2m6Uq5bkE7f1ENvjmXsgsb5cn5PFXBVV\nqVRQrVbVEml92TDvr9vixMhFSFzRxXRJOp1WDZfpDMuyPzVdMlJUE1+tVkOpVFKMkq9Wq9nE7bWT\nLne+lcC4UvkGbWf4OrQzQw2dSlcDpmnvS71eV+LKJcIUm4LQqwmHw/D5fKjX601LoPnqdBpEtVq1\nP3FceBRuFH2/j6xcbhuQDTmbzSKXy6FSqah5BIrLlViSi68ej6fpJA8yylVgbnt3y51vJTD2w0fD\n2guffD9oDd2wM5FIpMnO6PaGdkbnpJ2R832Lxc4MNdy+GnY8YHI05ujN0bparSqB9QrIZrNqJGcl\n+Hw+m+ihUEgtx+f7crms/l5ehULBVgnS03CrMJKVnJJR7o3ixfrhPQUCATQaDbVkW7KFQiFYloVs\nNqvmIng1Go0mPrc763LnWwmM3fLl83nVf3U+LsXXGcnHK5PJqBWT7MeD4HPTzlAnk41pZWe470+f\nFxtq2FlZzhp2HWFyFZe8TCLzxjkhSyNCCHkWZzQatb0WCgW1jJrCs8Llsn63G7HOyHC+UqkYjSwn\ny51WavFMQ53P6/Xalop7vV41d+H3+wfmDKwEvpXA2C1fLpdzXC3JVYR6XzTxMaWmRyeD5OvGzsj9\nh3K1pOTrxM7UarUFZRxquHQ07HrApMcgT1hgGkEXOJvNqr0+8rBcHpibSCQQj8dtVyKRQDabRTQa\nVekGrqoyeQ2DSJXIhsxcf6tUu9PCXgAAG6pJREFUCb0guXmd+5vIKF+9Xi+2bt2KYDBoM7S5XM4o\nspue33LmWwmMbvGxH3IVoeyLki8UCik+LtRYqCxPL3aGBpZRSCQSabIxTnamVqvZ7IzP57PxDTXs\nvCxXDbtKyeoi88ZahdnRaFTl0xlVUuDR0VEkk0mMjo5iZGREXel0WuXo6/W6Oq0/k8ksiMHlEUy6\nyE7pPDZippljsRhisZiNiYyjo6MqcqHHx0YcCASMDdnNstz5VgJjP3xer9fGp/c/vtf56AzMzs4a\nI+hBDibd2hmulaCzIzWUVyaTUVEJBxOm2AcdgQ01XJoa9pySlecTOgmczWbh9XoRCoUAQE3kJhIJ\njI6OYnx83HZNTExgfHwcMzMzyltgBUxPT9smfBciOpHnEzoJnc/nlSPAhhyNRjEyMtLExVdyMCrJ\nZrOYmZlRxnahopPlxrcSGPvhi0ajyiHQ+SRbJ3z6/JebpVc7Ew6HbY45BxLdzvCamZlRK0lLpRKy\n2azNzgxqwBxquHQ17Hkfpr5c2HQBUF4RvYVkMomxsTGMj48rTygej6uDfyUoAeUEsn6ifT/bDzrl\nbMfIpc9MHYyOjmJiYgJjY2MYHR1FIpFALBZDOBxWKTyKyCIXAeiMQ74hoxt8NEJ0WHW+aDRq5OPy\nfZlm05fnD5KtHSMAtVKUdmZkZMRmZ5LJJOLxOCKRSJOdoYZyS8JQQ3fZ2jECS0NDVw4ucCpc0UWR\nuVF2YmICExMTSCQSKu8eDoeV5yM9ATlYcj/NQhvcVoV7hXiAMR2CVCqlGjEdgmAwqM5x1J0Byei0\nV2jIN5iy3Bl1vkQiofhGRkZUP5ROq+Qjh1zNudCOa6tCO8NzQ012Jh6PK4dH2hk5kJBR2pmFGFA6\nKUMNF4eGAx0wPR6PqgTdc0+lUohGo+piJZg8ImmMeC02Y8QUiWzIyWRS8dErYopEGluTyFLo7VmW\nOx+w/BlNDsHo6KiNj6sPeWg196SSjzymTeCLYTAxOebj4+PKznBlpW5nyNeJY74Y7MxQw+2r4UAH\nTGD+eWvSa2AlyH1DoVCoacAEWhuj7d2IWXTPjw05Ho8rNrL6/XPPqNP5dIdgsXTUlcAHLH9Gk0NA\nz13yMTqRx4d14hBsbz5pZ5jO45yerp/Jzix2/YChhotBw4GnZPW5IYbZqVRK5aAZXnPlVqeGaDE0\nZq7oMqXzYrFY02NnfD4farWaiqBNjEO+IeMg+aRD0I4PaO6HNLiLxdCa7IzMZJn4WtkZ7hlcTIPm\nUMPFoeGCRZh6mD0xMWE7gYEHHOh7gmRFLOY5TOn5sSFHIhEjH49/AmBsxIstVbKc+YDlz9gPn5Oh\nXUzpSsB9O7PYoq+hhotDw64GTE6wejzNj1UxLaHn7zGKlI9bSSQS6ndafQ+LXFHFCtAjT3lP/c4b\nmRhNWwSYe+dDSyl2IpFQS6SdPtu03UBn1PnI1m8DX+58K4Fxe/KRbRB8btgZPrqqVzsjbcxytTND\nDbvXsKsBk1/g9/vVHCIAtYyZT/TWJ2NNEFw0wf8vK46Vx+9iBUYiEbW5vNFo2B60Kk9n4Wfy7zst\nUjQysjIloykdwFfJJxeGmPj4PbxvuRycfDy0IZ1O2/L4/IxGo/Pn8C13vpXAuJj5uIlc8vH3utFw\noe0MjTRXaLazM5xHW452Zqhh69LxgMmb4wdTYI/H01JkpwpwEpmvXq/XVgkU2u/3w7LmTnWg0JlM\nBoFAANVqVQkrPaRehZaMcsFHK0aT0JJLiq4zytVfjcb8g1ZzubnH4LDhSR26LcudbyUwLjQfnVb2\nQfIBQLVaVaccpdNpRCKRvvi2h51xYtTtDI9v49zfUrIzQw3d0bCnCNPnm3/iiNc7dzoDV7nqXoOs\nBD1MlvlnvbKdPCNZCTx7MZvNKmGkULVarRs82/eywUlGKbSeO9dFptcoefgd8nN1ken5AbCJHAwG\nVcMzeW5DvpXBuNB8eh/ktgXdIZB8eh/sVsPFYGfomMvohEdzLjU7M9TQPQ27HjB9Pl9ThfSaRiC0\nLrL03J0GTL0SaKBknr/bhiy59PuQy5m79fx4v/zMdg6BqSHTyxvyDRkXkk9G0O0cAr/fbzNC/fAt\ntJ1xSufpjjk3y0tGfsdQw+WvYVcpWXmzvMl6vW5LI7TzGmRlsDJlKMz3Mi8thdZTsqwEhuWsND4Q\nuJcIhSLye/x+vxKaqRJ6PE5svMinh/tO0QnrT59bGPINGbc3H42R5JMpZxpAbn/ohW972Zl2jjmn\nfmT6LxQKqdWmQw1XhoZdr5KVgPwCGWZ3kpeWk9zys1kBThGmk9dgWXMrnlgB4XBYVUK3fPws6e0A\nMHp+JqGdGGWjl56fbMhcHq43ZNYn6yIcDqtl00O+lcW40HymPsj+6cTHPtiPhgthZ2TkY7IznNui\nYy7tDLXmgNIt31DDpalh1wOmfGXhiM0KklejMXdcER9hk8/n1YpBelF81XP2HDxZMXwvi6xgvufP\neyntGCUb76den1uWzVP5ucCj0WgoLslq+i6dz+RVyqvXstz5VgJjJ3x8lXzsh93w8Xuc+qIpIhi0\nfq3sDJ/+0YmdMfG1szO6relVy6GGS1NDVw8ukDcrK0FfhTU9Pa1SWNwOEgzOPf+Sk8StUhDyu+hd\n0FuRQugV1i+biZENWaaHZ2dnMTU1hUqlYtvuIucNAPN8hCyt+EwNYsi3shl1R1M3RnIep1s+Gph2\nfDIqcrsPSk4nO8OBpFM7ozN2YmcGyTjUcHFr6MqAafJe2g2Yfr9fHRbMSWvOWbKYKoAVZArHZSUM\nyuCaGHVjOzMzg1gshmq1qhiB+UedtXIGWqUbdIPrdlnufCuBUe+LTHmRj/Ops7OzmJycdOQDnPfF\ndcI3KIfAST9gfntEPp/v2M446diJnZGcbpahhotXQ9cjTL0i5IDJSohEIvD5fCp3zEZBQ6RXgsxn\nO1XCQnhGJj42PL0hU1zuDeVcl/TuTHx6FOTEt1AOwXLiWwmMJkNkcghmZ2cRDoc74pPOQKd8C+H0\nkE3OxdEx50Pn29kZJ8ZO7cxQQ3cYl4qGrg2Y7bwGGWYHg0HVAAD7KfWmSmjlNei5ewotG4SbRU8l\n0PPTUyUyCqHHFwqFUKvVVOMgo87H/2fyinSh3S7LnW8lMJocAj06mZmZgd/vb8tniqDb8S3UYNLO\nMZcLBAGzndEZ9fN/TXbGNPUz6EFzqOHi0ND1w9dNXoOcxE2n0/D55h/86fXOPzSUq7FMIbZTJdCj\nWog5TCenQG/IFJm/x+Xi9JI4v2BKOcu8uxRab8hDviFjKz5TdCIdgm74TAa3Hd9CpCtN0Qkdc87j\ndWtnWqXzdIdHOuaD5BtquHg0dD3CNHkNtVpNhdkcLAGoPDQP2pXLe03RpRw09TB7IQwuOaXI0vOT\ne0JleoSP5CmXyzY+UzrP5/PZvscpVSIb3ZBvyCjZTNGJboy64dNTXe34uILR7QhFZo3kd8tMFh1z\n3iPQ3s7otmZ725mhhotXQ1cGTN4M0wGRSASxWAzJZFLtuaG49JB8Pp/xiCSPx6Mme9PpNLLZLIrF\noq2C2EDobUSjUfVEbv1YKbcKPTAy8iT9QqFgO1BBOgdOe6oCgQCmpqYwMzODbDaLQqGAcrlsO2dU\nbyCxWAyRSMRWZ0O+IaOJT552Eo/HUSwWFZ/H43Hkk/2QfLOzsx3xsc+bTnJxq/A7OTjodoYRiXR+\nOrUzuVzOaGdkfdLO6HsJhxp2Xpa6hq6tktUNUSwWQyKRUJu6GW1WKhXk83l4PB4Eg0ElCEf4RqOB\nbDbbshJMho9CD7ohSwNIY8uTK9iQi8UiGo2GOs1CGloAbRuykwMija3bDXm5860ERieHoFgsKmMj\njW2j0VAnaen90MRXKpUc+aTTqvdBN6MTU50mEgllFKVjzr/p1M4UCoUmOyNPcdIZZbtwqww1XNwa\nujZg6lEfn2Mmw2F6DQyXTUcj1et15HI5zMzMIJPJIJ/POw6YrbwGt+cYdKeAQheLRVtYz43F1WpV\n1YlkZAOfmppSEbQ0tqbvknxOBzMP+YaMJj4aW5l+prGtVCpNi5B0Pmls5akvTnU5SKe1lbHVp4F4\nr3R6THYmn89jZmZGGVvWiZOdiUQiQw1d4FvKGrqWkjVFfMlksumJ18yvU2jpLXB5dKFQMEaYFFp6\nDXLA5KZWeQ6jW0VWvPT8SqVSU+68UqmolIcctPn/O4lOTA2ZfINOBS1HvpXAKCMGGUEzWpZzWDQq\n+hwO1xx0Ep2YHALW7SDbqDzWjMaW96Wvd6hUKk0DSTd2ZnswDjVcvBq6GmGavIZyuWy7KpWKOtpJ\nF5hHk5VKpY5SsnqEyZTFIAdMme+nsSUTDSbf0+DqjIFAANPT023nv5z4BuHZLne+lcDolM4rlUq2\nPsh+ZuKrVquoVCqKr9X8l6nPs/8tZDovmUwqRhpLvmfUAsw7O052ximdJzWUjIO2M0MNF5+Grs5h\nykN7WQm5XA4AlEhc9FOvz582wQrg9pNyuYx0Ot3RRC4rPRqNqrSEnp5wozg15HK5jHw+b0shcJWX\nXMVFj7BSqcDv9ys+LmqS6Tx6mfrEuGRbqLmT5cK3Ehidolqy0JhKPt6vjFpMfJ1E0NFo1LbaktMi\nbhWnBSOJRAK5XE6lKqljoVCwbT9gVCLtTCaTQSaTaZnO06MTci2EnRlquLg0HMgqWekV8UYoMN9z\nz5seanPwzOfzSlyPx36CvnyV73kfMkXhpmekeyqJREJ5QEwdMP/O5dFyopqC+/1+NTcrT+igA0Am\nyUg+yej2/N5y5lsJjK34LMtSxkbyMdujp511PgC2iFkyLRSfaSGVyc5wsUi1WrVp6GRnmJKXdsbJ\nxvDQle1hZ4Yabn8NXY0wKUQsFlODnQ7I1Bc9HACqEbDSuK/G5/OppdSRSAS1Wg0TExMYHR3FpbVL\nMfLsCAJTAax/ej2uPOFKvOOmd+C5/HPwwIMnZ5/ES9e9FNeecq0biLY0MEXmfKzOoTdg/ee1Wk3V\nDcULhUKIx+NIpVIYHx9HMpnEx577GEYzowhuCmL9xHpcftzleHz6cZxzyznweDzYa3w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       "text": [
        "<matplotlib.figure.Figure at 0x1097b4400>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's take another look at this by using IPython's ``interact`` functionality to view the reconstruction of several images at once:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.html.widgets import interact\n",
      "\n",
      "def plot_digits(n_components):\n",
      "    fig = plt.figure(figsize=(8, 8))\n",
      "    plt.subplot(1, 1, 1, frameon=False, xticks=[], yticks=[])\n",
      "    nside = 10\n",
      "    \n",
      "    pca = PCA(n_components).fit(X)\n",
      "    Xproj = pca.inverse_transform(pca.transform(X[:nside ** 2]))\n",
      "    Xproj = np.reshape(Xproj, (nside, nside, 8, 8))\n",
      "    total_var = pca.explained_variance_ratio_.sum()\n",
      "    \n",
      "    im = np.vstack([np.hstack([Xproj[i, j] for j in range(nside)])\n",
      "                    for i in range(nside)])\n",
      "    plt.imshow(im)\n",
      "    plt.grid(False)\n",
      "    plt.title(\"n = {0}, variance = {1:.2f}\".format(n_components, total_var),\n",
      "                 size=18)\n",
      "    plt.clim(0, 16)\n",
      "    \n",
      "interact(plot_digits, n_components=[1, 64], nside=[1, 8]);"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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oWbUwdVzse0ulxTX7tzjQVMBUC3Nra8sFLxWLRQeYPoDRNWcDRPjdi1Jk5vWb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\nJ4B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zMBjM5C5kgDmPocmGe5R8hrJmGvuFtoe14XcBTA1N6Drwfn19vQKYXUIJPt7dS1Yt\ncBY+IioxPy5vcKA0D1YOmUwcYOvnmPmGbzvPLP7gNKbHqqCPufAm+v1+oSt0Xh9hxbpnWnfppnXQ\n9N/xv9M1UNpWk4TaeD9NQ5WZNlK4u7urxEk1luqXMg5qbXqNrt4fG7DrpqijyvEiuA+OfoN1UAND\naWyn59knSlOrF9+G9s68avaStjgk1ru8/HYyyNHR0cz+6ff7heZEwUIZsj/4Pr6HZ8vznbemfnky\nyvn5eQFJEpa0jKSJNXFj2hmoj4pf1smSxv44XFnZA/cyYXDu7+/L8WPIkOcLdJ2bggwgopnvxE/J\nltcSDt3/ygopmDUB5CIj0yfqLDEw3J6f35rXewKVZvzyvLVRjJ+HuQg7yXhXpx+ADq8Hymk6nZYJ\nqiuPZaVFvdTivb6+xvr6euzv70e/34/d3d04Pj6Ovb292N7eTuOEi94081GFRvcHUulRioeHhzEY\nDEpnCOgOTWHnMx2AumbqqbC3ufx7UHRKzfCe3pZaKO3lDDr/zDDponiUaqGLDfEET3aJqDbA0PZ/\n3qHk9va2tB5UiqUrSM6LxegzVWOOtUIxRryd44dFT5eciCjPRGk7Nb7cGKxb37oYZlZ32O/3Sz3r\n7u5uHB4extevXyseA8+VkhOtQdajmyLejBWOVULu5pVJQe3qvLWOGK8Hb5Lnqwdh1z03vY8sIdCp\n7I8ESr6f+mYtVYD90eQbjJnX19eS1xERsbW1Ffv7+5Vax0XYkTrmj3lm+9o9R93j/u958Uj+/yMo\nb78f1QvaYpOeuFozzvpjjPN6cHAQv/3224wuz+5/3ni3h4ky0YSG6fTt5HHNroKK0b6ydEt5ff3V\npFqzaY+Pj2M4HMbW1lYRpuyBtp1rRMwAPj8HMLe3t0vN2draWine1X6F2lFE44x1gNMlkI8i1MYN\nmsGol1rYvEKvefG8NoPW2jwFHLU232ucKPOgytxPwVCvGMsxA8zr6+uiUEm80sYFi1rA2d+5YQC1\nrFl8vEZEBbi1d2tEFC9M48Sc/OAH8TattbMFDpbKHgCYtGo8ODiIL1++pEpCszb17FcNj2hMzHMK\n5q2t0rtKIfM8oWQpHUE2KS+oGyqruge6hGua5t30s0xnECJZW1urNAVgbdFxACZM3P7+fgwGg1K+\nsQhgMj+/dL5Nl9+X/tsdCwdS/buPYtj0VSnXJsBk/62srBT8oEnOwcFBfP78OQ4PD4sub3P/2Vi4\n04/TTBFvFAXKRAVYYxfakYRkDhU+siaJaTlgMo9FHkzmJbu1GBFFsPEEsEq0qULmnTV5mW3mrBaV\nnkzirfgeHh5mSkcUML2GLgNMvQdVtpkV6s+/zTor1RPxS2Y8NoqCgGpp8jDxjrXLTuZhLhon9vmr\njKPgNDHBL5oqcO5oRBSDUePDeJhZuKFpfZUiVWNIQZM5uof55cuXSlYir8SHKD/Qw9KdDleZw0hu\nWussJ0CVHt20zs7OYjweV2TcPcwspOLgnZXovHc03R86g1AAVDunqRA3g0FTxgWGAsAERDNa8j1z\nzgz5Jq+ybr+38dIX0RNN81eDK+sY5h7m6+tryTchD+L4+DgODg5ib28v9vb2YjAYFLp5EQxZ2MNE\noUDzoEh04/oi0BWHmqsfP37Ezc1NqclcW1sr7/1cM93A73X7MyEAsKFnmYtm4WUepiqNJrBsy5u7\np+WnjOiVZR33er1UmWfHDdWBfhYD6ipcyIR6rr1eb8bDRI66ULLqiWSdPeaNzBrPFAL3jJeo4Qee\nDXPWU24ATI3NKyWLh6nF9gDrvDl7DFMBk9/JAPPr16/p5+PtEU8EyDMP8/HxsTBHaqg0zdnjaeph\n0k3r9PQ0bm5uZu6rafhe0wQqT1JbdNQZUgwAkwQa1m46/XWK0dXVVTw/P5duNBhISs1/lIfJfJs8\nzCZKNrvPzIvM1mJRyjubf3YvSsk2ASYe5vb2dqFhf//99zg8PKzk0qiH6fcyb7ybkiWzSb0IYhca\nQ9PWc+PxOEajUfz111+l8fPW1lasra3F3t5efP36tSgU7UjzUVajzp8BYAKW29vbFWWscZg2MUz3\nsBU0moZ7mFlLOd5roJ6r3+8XQNdXbRg+j5Kti2F2XVssan3NYpiso963Aiab5OrqqgDTR7fGq1MM\nyDi1cwpKeJFPT08lGzHzML05hJahdCmTqothuocNYGaUrN7rdDotbSA5B1M9TAwejcWRFOLGYt2a\nqocJO+Ie5mg0iru7u5m/V4WdPSel/TNKVj+n7XCWYp5ckLCzubkZr6+vsbGxUQ6g6PV6xcPEcKIc\nCbpwb2+vxDDfS8nqq89V9Y+/19/J7nPe+AiwZDjYk5A2j5JVwMTD/Pr1a/znf/5nHB4ezmRTL7rO\nnctK6h6MLprepGYweYsrVSbeom1e4XyXOTcNp308PVvvgfeADzVsg8Egvn79GsfHx7G/v196MHpH\nmDaUm3sR2vZJPS2O6lI6NvMw+Zyrq6uy/npYLWug3uVHWen6udD0ujHVgry/vy+eHEk0o9Eobm9v\nS3ybpv2qZDTe1hZ4IqqtC91DUxlH6XuWMhQmiVS8It/9fj82NjZiOp1WzhbUzimLZFc7XZV5FCpD\n6tl5Mb9S5p6p7IlI2Tq0MVQ8VKFgvrOzU6ltdkMNWVAdQivFrP4xyzhdZNTFA/3VW93RWxbDyWOX\nsBObm5ul5lgTfti/XT02n6s/I33VHAnt1axx5e3t7dja2qqU5jSxTh8JmBGzYbOs7EWNL33WHgpC\nntGVizoAjNaAmT0UHqxaKRFvPVb9hHlaXJEirIcFe5q9xyMWuck6Qde58j4DKT17Ul9JQqFx8d7e\nXiwvL8eXL1/i6OiobATNgqzL4Mvm7LSb0hHQWOfn52nSQ69XTfrhQsG7B8T9u2fcJVGpafg6++cp\nYE4mk3Jihp62ERElg7rX68Xh4WFljVXBL7LG2WvWGk7/X48r02PL+JulpaVSFrW1tTWjHBctkWL+\n8zw7p7epZVUDy7NmUepu5OmadQVLVWAoPk4q2t/fL/WI1CS6p5idbKOAyfpmZWiL6A0HHQccffX8\nAhqakMREOz+MRQCT+e7u7s60n9N5sIZthxt12aXlWewZZPny8jJtXNLUdvA9+jkbbjDougGWMEs0\n7dCGEPo5bqyp7lmURu7sYfqmcSWIh6PUi540wMkHvV6veJVkC3pt40d4OpmlqHNVMM2sLwQJr/Ly\n8rIo9+l0Ws6NI1ZEKYwCpiqCeVave5l4CCg9TZRQZaSCm20UYqHEL53KzD7rvYDpf+cbSz1MaGIK\nvPv9fjFe8NJQ5m6UeBLRvDlrbE0TUjwrOWsSzqWxP5Q5m1dreWEgfL5djZLM66mLWWnoQA+sfnl5\nKYyOPg83vLL6YvUws++se/4enlhZWSm11gcHB+X5wjg5bUaLPLKt9TgqdAfeqgJm5mG2leMMZLJX\nPXGHi1gw4QMHTLKkB4NBDIfDStMQjel3UexNHqaHlDye3Ov9Ovwc71INDmX79MAGN9A/YtRRyQ6Y\nlO/AQnHykj7rLDz2Ud5wZw/ThcgnQ0xKD7XFI1JFBGBSXO3dZT7Cw/S5c/ni8jsuUKTak/p+enoa\no9Eonp+fSyxKr729vdjf3y+1o3XKcd5c3cPUDDFNxVeaU2ksZwGm0+lMSzr3MF1xfgRY6mavs/IA\nzMwrVuW5vr5esgkPDw8rh9sqBdcFgNQg8e5Dfji40/KakIQheH9/Hzs7O7G9vV02uPbIVSPqIzZy\nE2WoHibgzt7t9WYTsjTb1Nv28ZmqgNsApj53pcn8mCWSi7S3MV4DJ8O8vv46hoxcCe2ww/mNSsmq\nEl3Ee8/ixf4Ka5MxDRhQeo+q+JEL9+DUiGfuXUCzDigzD5P1QT4ULNHLXFpzyzPAOH9vZq/Lkd6r\nAibziIjizGhGd/Y5md55j5e5kIfpqeyqtCOikmLPCfAnJyczN6IxCLVglA76SLAkZsecdT6Zh0m/\ny/Pz8zg5OYk//vgj/vrrr5hOp3F4eFg8ieFwGEdHR6X2ZzAYxM7OThHALpy/b1YvKsfDPD09LcrP\nBYHPqXtuXM77fzQlm4GmfxbKnViKAlZ24Pje3l4tJZutQ9MaZ89bwwhczEfnh9eGZ0HsMiKKt0Dy\nAensAL5Ssr5e80adZ+mvWgrCXBko7zrAVKNVPUynJPX7suGGGEkZPMvp9K1hCJ6OXihL6M+rq6vi\naWrHJPUw/XSNRSlZ9IGGafxV285xXV1dFVkhholhq3E4yuY+gjKc52Hqc2PuyB6efVbiBP0JWDJP\nnjnPdVF6k7k3DWUTNjc3i7F3f38fFxcXMxndjCYv07+/y9w7eZiuyN1LYeBZ4l1yVA9xBz3UWGsd\ntYh7kYSIbM4uRJllPJ1Oiwenl9KxeMkc30S95traWgyHw/jy5ctMKQyU3CIjAzyPs2JtZcrTPQHn\n85U21L6yriwXia8xfA5e6oJC0tMGdP0nk199ICN+xTDJ+CSBhqQf5KXLUIrK433qJehh4H5SvYIo\nJSZ0YCLTGtZB+/i+pz2XG151CjdjJpADMja9U4+zDHVMQ5d5O2hq7WKv1ysxzaWl2f7TKEay6vnZ\ndPrWYUxBU1mqNuGPuuH7ra4BOJ2KOMPz/Pw8xuNxBWin02ml3RxzpbRI96zv10Xm7Z/nn43MKzAv\nLy/Hzc3NDBXvoQn0Ds9HqwQ8dNaW5akb+jnghsovTTYc6PW+VFciz/rZOo+2690JMBEe7z7j/+aU\nb67Ly8u4u7urgCICgxdB/EGF/b28swqJli5kwq/ehb6en5+XGrHV1dUYDAbFqxwOh8Wb9M4ti25Y\nEhr0ZAwUL91jsNIBTaeKspgc5TKajbyxsRG//fZbfP78OQ4ODko9mMeS29JBvI+ISnxQE6m8gQIB\nfC2RUA+GDaNKx+e2iBfhr9Np9ZR6DCUK6rVhBIX1KMOlpaWi9CmURja8VGPR7E0UBWvx+vpaPlNZ\nmeXl5SILGhY5Ozsr6xvx5mVGxMwRSso+ZMZV26xvt/JRWgrWyHu/36+UkK2urpZn77HUus//KAPb\njVPYMk0+wgjx6/7+vhILZv6e9KUJPr5mXUe2DnUX94kujIhKOOLu7q7oCJgf6FoAH+MPx4CSGE8o\nq7tH5pC9534AMTe2kF9vAsKljMR4PC6hK3fUlPljDm3WvjVgugChQNwr02xSfX93d1doMz39A7BU\nwPyoIG0Wi3h8fCwehMYc6Hji3gSCpIBJvBL6lTRsjwEsMnfdbFhxfnIKlJa3yqtrdvDy8lJAdnt7\nu8TZBoNBfPnypQKYKPe2ijGjCAGfjMYcjUZpx6GsCN83iwq8x9gWkQ2df0SUbF2ydMl29AOWOfTa\nFfz6+nocHx/H4eFhpbxIQw6LUoW+Fnjsns1IvA9lh/GqnXmU5lpaWprxIiiDUHl0Y6XtfajSw5tR\nOtg732gcld/355yB5keFEZyORWdcX18XTxKvMquPfnl5KUocx0AbFCgl/5HDWYe6S+l1PGB1GtQA\nYy8oAGpzGcIl9GdVUCKxbN5a6yv34eCFnCgV7GAJcDtgjkajmEwmFVAFg/Tz245GwHQrwOu6OMoI\nOoKL0hHPLuTgXQSJ1nd6Zp8DZtcb8rl7LIJCYj9/D+Wtl3a/Z5GVagPwAaC2nVvqrBmEXQETwNd1\nGwwGcXh4WAEj3tN6EIWH4iSIPxwOY39/P/b39+Pg4KBcKHio5C6g5JSPe2t6qYepRccZYEbMnnqi\nntoi4OMyrXICyCtgnp+fp/V2NLmgUJqjvlhP4pZ4mJ5M03WobGicMivF6vV6RdFDtbnHiLewsrJS\nMbjwMjFuXR6V/prHPjhYss7MR0tDAD3kbWlpqSR+uYep7EMGEO/1MjMPE8D88eNH/PjxI/7666+Z\nmDvN6WEcVldXyykmACZtPjPvSz3oRWhv9+az93qPvC4tLRUd4jLqhvDq6mrRHzBEr6+vhWGDakdO\nu7BTej/8nxqK/J+WImrnrK2trQKYOEawMX6sGZ/ddb0XomQ1++7i4iJOT0+LIP348SNub29nuOxe\nr1e4c9p2DYfDODg4qNR+1VFtiyjFOg8TwPzzzz/j+/fv8ccff6QgT+cOPSQY71I9TChZrSGrUyZu\nVfnvqIICKFFyeJZaI+oXFiHrTer48vJy6TBydHRUPEusRO6FuIDX6tXdh/5bkww0UQm6imObaLrf\nRMnqvUPjvdfDrIuZZJQsgDkajdI6TKxW7SxC9q4aU3iYCgbvoWRVbiaTSUrJ6rPXcxg943Bra6s8\nK6dknboF2LIazXnzRulFvPXWhV7TzF2/np+f0/plXQMHhY9gpTSMkwHmP//5z/j27Vsa32OfAi60\naVMPk1jsR4+2lGxElPwH/o5zaXW9cTA8tHN8fFzJAEYWFSzxMDPQrGOl/Pf4t8bpSR7zk38ATeSK\nJDE8acIM+nz8O9sAfGdKVov68TBPT0/j+/fv8e3bt/j27Vvc3d3NtLX79OlTKSfBU9rd3S3HeWVW\n4iIj8yA8IxLh//PPP+Mf//hH/M///E/ay3I6ncbBwUFMJpNyL2RqohAVMNUKyjZuU5CboYDJv3nI\nnuWqfRV5pfGz0osIsZ6NSJ9FpTM0HtFWwbt3qXKi8UDoLPU251Gyuh51Mcy24JPJhV+6ZvQ7Pjk5\nmSmlIrMQ6pJjmr58+VLoKi6OpntviEEVhoInHp8bm8Qw+/1+MRSh1KDm7+/vIyJSSlYNFu/I5V5f\n05wdMJFFN6j1OejzcqMt80Y+Un9EzLYgBDDPz8/jx48f8e3bt/jv//7voiPUY4PFATA1Uxq24aMp\nWTc0mrxMLzdhPVdXV0v8lfXz5jMc4Iyhq0YY380+VUBu62lyL35vyo7wu5mH6ZQsniaJeIRNyFyu\n82ybxkKnlTjV4lmGNzc3JWisipC4oMYLeUh+6QZ7DzXrc2ZzKvgzD8/iZAPQH1JjWWo04N2hCDKr\nru4+Mr6eeAEPFOXoF9YWVjACreuI1+FdUaCJ/Ow4L+nJlE8G/Bn4aEs/qHvobk1n1+eiqe+aROD1\nal4j6HGQTAbqPBMFZMAEwygrJ4CyzJR5Vr+HXPjl821Lb/LeDQkUCJ7AdDotyuHl5WUmjjqd/jrC\n7uTkpJxHiRHz6dOn1Mv09W+zJ9VTUJrN9YgRosySAAAgAElEQVRThU1xONbbyz4yo6vryIDH6WIA\nLyuxmUzeWoMi/1DMztLpZ2a0cps11rny3L2VnMqzX3yGswmTya/OW3iQ/K7q+fF4XDw71TNaisLa\n1N2HPqesVM6NXf08nTOlSBiL1EuTILe1tZU2bekyWgMmD0Vrtbz3pNJ43Dw07GQyKZlleBxbW1sF\n+b1oGUWk7rjPp82c3ZVX5cv3ra2tFe+XeTNnVfzj8bgx5R5KIyv+zgC0bo2Z7zzARBHrBtX+lfyt\n3qdbZRqk9/nqvTUJWOa9ETfQsoaLi4vye8R5NjY2Spsu1galomvJ+yx26XGteRatyjLxjIgoh4cD\nMqurq7G7u5smgqnnqKfwqNwhJ678syzwLqAZ8UZVZ/WI7DlkAyOPfYUixLAliQXQvL+/L0qP79IO\nQF26vNTJedP/Z/fsYKJgCfhg0CpD1DVGpfoC8FFDClZsPB5XQJpXvC1iaGdnZxERlR6tVAew/9R7\n17Z+6lnVzV/XR+OiAATzpZWnOyvoRO6RsySHw2FFDytThz56fn4uORPcAwZbVrI0b18qGM5jhPQ7\nVD4xSvh/LtaizVmrTaMTYKIAFGyyLD0eNIoc4NGT1skq7fV6Ffeam+Fz1JNQGqONm8+8mTsgw+Lq\nPTw+PlYsWx6w9ixUTyFT2E2tpNQqbaJjdMPybyx9p6xYI9aZxIN5gOlBco0hLxoLcmpWAVNbJLqh\ntbq6OlNIzb141qQbIe7ZuVWa0Tu6xihEfnd7ezv29/cj4lfpzubmZuzt7VVKCXjP8+31eqW133g8\nnvFcKbT3dHs3TLp6axFVIMt6bfqFrGB5X15exsrKyky/Vm3Oz9pkgNmV+tT17yJfbvi6rGAooqzJ\nP2DfRNRTftl3OcOTASaNKjzvgc9/enqK8XgcEVEMLEBSXz3Lk6H6Yh7YuEPR6/UqTd61Zy/PGH34\n9PRUdAQlbNwj4O97WtkLAFPXyE8RagOWPKO6S5kHBcyIaukTFQ1eAra7uxu3t7czXc66js4eppY9\nZGCpG0mLw3u93kyTX+J0CJAqeShH/X4X+raeBJSP0m/qJQOaGutkqIfZ6/VSqoEHqclBKjC6+TLl\nqJ+nwq90Fb+nr108TPUu1cNUBZ4pwnnrq8Mp2czD3N7eLsqADfb6+lq5D8CyzrvMALNLPEINKP33\n9vZ2TKfTApbD4bDMm7rMi4uLAtoOmK7YmS+fqeUSOm9lEJqUov8bRaEeJic53N/fF8XCcyAeR7Ie\nyV3aApBXbYyhwNw1OzmT80XBcp6HibFI8ti8Nc1GxvBo3Hd3d7c0syDLmzXTg6/xMB8eHuLy8rI8\nGwVL7WSFzkG+VTZVD2T34mGffr9fPMzBYFDpaXt+fl5YBjzEzMPkQImI6pGDujb8PQC9tbVV0T/z\nwiQ+VJfOu/Du3cPk+ZPtTqnPwcFB5VjDpjk0zXlhSlYTYTJKNrtJei9qg+SIKDcZ8abg1SpxC6qr\nd6l/W0fJwm3j7biHqQpdXXo1CigvUapAAQ/F3HQPCqj6t/yNDgAT4YU21DnO8zD1u5o8y650ilOy\nGEqkhGsSkv4+8RH3LhU0FTDZYBFRec5tDCml/ZFFBUuyTM/OzuLs7KyUYSALvEdxvLy8zMSOV1Z+\nNQcgEYK5qiwsAiCuKBQwSXggMQOQ5H50PfE6VVEhTxnl5TG3eeuceXZtjDH/vTYeJpSse5hu4DYZ\nJRnD4x4me4zzGJXmhKkiz4H9gPemYLmzs1M+KyJKUhYyo/uS4fPnvesMBUzNZlWw40i9Og+TuCtg\niR5UD5MYIb2e33tOrSbXaTzaX9Up6PXeko2YD4B5eXkZLy8v5fB5PFBduy5jYQ8TMPFiVTh4Fozf\nA/Wh56jFQlliaeMN6WaLiLKxVWG0Bc0MMB1ESETRRA1OUmDuyo27wibu5lY5iph5KM1VN9821EXE\nG7XLdwOYukE0EO/N4pUCqvsOfd8GNNVKVGVGYTelDEtLS6WmNSIqp6k4a9GGklUvs41c6PNTut6z\nke/u7irnbgKWqgx1/dVbZ+7IkLITDu5uHGXDFaV6mHgHOzs7hVLlUGaUo1KU+jmaXKU0Mv+vzIx7\nem1G5h3X/V/2twocDphqaHnGtXqYi+gL3itgashjY2Mjbm9vY21trRgiKGW/Pn36NAOYNMTv9XoV\nwEL/ORMyb4100Ht1MBhUwJJ9STY4ethZCv5Oz8y8u7urxDDR8S8vL7G5uTlzmHOX/RgRFV3qCaP6\nngRSp2VVH8IKUlqCcaN/k33/vLm+CzBJm97b24vb29tiYXNsj/P7PAzq0rDSvJXcZDKp9JTUmKAn\n0LQJiOsmwMOh+B/rbjwel9RptRr5HP1MwNZjQhnNC+2snoxTiPM2dB2PryCDF0eT7V7vLTYcEXF0\ndFRO+KD/6kcNt8xVNmhMf39/H71erzSlJwmMJvIXFxclfoZBkmVPZxmL7h13tRzr2AxVZDs7OxXK\nDXrHTzG5u7uboay0v7D2EEVe+C4F0bbzpuRI2yciZ6yNe496Qd9xse++fv0anz9/Ln1wde+19RDr\n1nne70S8GTSeM0EzD09IUWXq9+rPuMt8mQOgSVJVRKS9hTVrXjueYYxpc3idi4KFgtIiXlrEW2Yz\nZRQYEAAahgVrtbm5Gf1+Px4fHwsTpEeV6cHz+tnIjR/qrvkevqZ194Rjog0hsjgx+4xSOnILOD8X\nHNrc3IzJZFJOhiFvJlv77H2Wa9JJa9Ypxf39/TLJjY2NuLq6KopEX9XqVsDUG4DeJB7I0V9sBE+e\n8IfiD0T/H0UCFah1oQiEbwAt6IayxTvCYmsCTOgV1o37UKXTZiPrZuIzNL1bazGpVVRDg3M6t7e3\ni9B85EAx46lpcwpoJ/VgptNp5TBrPSILD1Qv/VsHzfeAJSMDSzw4zfzr939ldWOcXF9fF0WEHCAT\n1Cljse/u7pZYErLDd7XxJLI5o7h2dnaK8adrE1GVHQ+TLC0tzSSibG1txefPn+Pz589FZgDMruuc\n7cd5v89QA93LHWAfHDD9/rLvnrffnMUCMDc3N4vBtLKyMtMVTE840nOAr66uihfnVQDMh/nWAX/X\ngZzSXhN51ixi5O/p6Sk2NjYqgElPcAUl9qobaiTL0cnIAXOezLDW1EHrsXl47B5n9/afXNzf8vJy\nqSnf3d0tzoKGVXS0XeNGrZlRQJ6pSsyu3++XEyXIIPOm1e5aQ2GqFazJIltbWylXzYbx+WTz9s2x\nvLxcPMyIKIo9a3Plp1F4KjZKDs9D64H0QGzd9Ahq23gb96C0L+CtHiaASWcXEhVo2aZHYn00YGZg\ng4IhoaHX+5UY4MpFDSreq4fpADkPLD8CNNnAGIW0/EIJYcRBtz49PUVEFApfDajl5eUiX1BVKGC+\n07MyuwwUl8bBFEhcblQh48mgUPQ6ODiI4+Pj2N/frwCmr1NbmtPvrY6m1f3qSYZ6SsY8D1O9s3nf\nPW/eCpjoIErR1JBmT5IcRg9hz5TWZ8Rw0My85C4DY49KBPSPepWstSasobOpydWLRLKIqDAvdD7T\nXrkOmG3WWpN19Lg0Zfz0yL3sEA30AjLT7/dLV7Y6wKyTk2x0pmTdYiNxRIO+2aWt3LAcELKIaiYW\nYIWCQQDUCu/3fxWozlP87slByeJZ4gVl1iIPT7236+vrSvwKAX98fKxsaqW3tJTF68N0jnVDjQnW\niDhERsmur69XDJijo6NygsZHU7IZWAKYW1tbMxYpG0FbKz48PMzQhXXeJRmaGR3rz7vt/Jt+1uv1\niryoN0f9Jl1gIqKAvm+8ra2tAqaqfLkHDKn3eJh49sRaHSy9RhFZWl5eLsemHR4exuHhYaHv9XAE\nP91hETq26+/VUbIAJrIQERWvycEm++66nzvjg2xDnbPGxOL9Ox8eHuLs7KxysDnzqzPsXJe817uM\nqCZPwvjokVyqR6+urmZO49G6VtWLOCgwdZStzKNk2zx/B0x6OWeHe2g7RzUGlZXk/f7+fgyHw8Yj\nFz0Pom50AkwEWL1NAEi9R+gov87Pz2M0GsV0Oq0kJgAG2j2HxBW+WzMOu1jl/qB40Ch09Xa9b+Lj\n4+NMY/nl5V9nxymvroXhmkh0f39fhGd1dXXGumN+bZJpVPl5pyGnZHd3dwtgDofDEouiVdvf4WFG\nVDu5sL4YJsSv+/1ffSvZCKenpxVvrI56VeBE/vSqe95N82Vt9ee+wQFlPEvkfGlpqYAlytQ3MRcx\nS5QYisbpxkU9TJ4nSVSAuYIl3rzPb2VlJXZ3d+Pw8DC+fPkSX79+LS3+tH+yepht17nr8M+so2Rh\nc9BFGZVZpwCb2Cf9Hd2fGDmsNd+X/d3Dw0PFsyTPAaNQL5W3jJL1eHOXNcfDZO7oWNc9rC007OPj\nYymj8qYMr6+vxXBCjnd2dmbOqHUPs+75+tDWlPQoPz09nTldiqYRnteBLGCo4AwdHh6mHia/7+vc\nNDrHMHkYniSBYENdsdAau9KYCv+HG83fe3ur91hZGRgp8KsrjrBQlxYRhbLyeIMKnHoJmbLPUvC7\nCD7CoK228NrxKOn3qKn1vjn0s/TZuLX7HjpT32fJWZpdpxnTt7e3lSxrNrLTVCh5fXZdNmSb+Wc0\nkhqJsBpsSjYdz8flt+6zP2rNAWH1VMkKvL6+jp2dnbi+vi71mQrkGHmUONAu8fDwsAAvz8QpxI8e\nDibEgbVuDsMF4NQLr0I7Vn2EPPC9zrCpstb3SoXSig3ZcDp8Op1WztGt67Tl99EGPJENDVm9vr7G\n5uZmyfRVSpkwgiascT8aPiD/w2l8Pbghk5e2z4L11OxYb7s6Ho/TWkrmrpnNhKQAS48fq3HUZrzL\nzWBhs8C3n41JE24uui5obIi0am7SD2fmhrWrfpdNweIolcKrHkWl59xp0TqvUBMoq/X19TQWpGfF\n6WbO4m6+rvoK5euH2HJUlq6lJiFdXl5WjnAiaI81piyBU5y+btla+px13lDGJD2wdicnJ+Vkeg3S\nq9GkXr+XpWxsbMyUmWRr2JUCVANQ/8/Bmis7B5b6URQGRtRgMIjj4+Ny7ij0kB7WrQZl26FGA88z\n4i2OyV6B8SC2o5fGZDXrcZE2eIsMl3GNZd/f38fPnz9L9jS6QrsaaZkGsbTMk8hkpGm4J+p6g5IL\npy3VqJ1Of/WiPjg4qLBL6mGi63Z2dmJnZ2dGJt679hkYsNc054KyJK1jRb/pXtvY2ChnvmqMu0mW\n2+gP5oUxRD2otyxVY99Hv9+vJIsqPat9kJv027y1fjcvh2L0Q6P1IuPJQVTrBbHKWCiEiE2hVpje\neBtLq87LUguLIleUux5FpVTAeDwuadjEKXgwelSW3kNdn8hs7go6rkzwyIgD/vz5swAPFqwmndD6\nrNfrVTpjKBWjr9PptNKJRtew7WDe0CukpnNU1unpaWXemtXGZuA9XhCASQYwmb94cJoRqs+8rWy4\np+d/p+DN5UCJkgSENOOUGGF27uh7PSIHSzwLj/vRmJrnrZSsgyWZnMoMfTRguoxpC0qNy5+fn1cA\nk2dN31yMVNcZSonqOrXx6jO5wOvR+kDXcyQ76nfh/fq+5vO1O5jS3+i596y9rzHfqXKggKl1rJPJ\npHhp6slDc+pFIqHKja573fr60JAFjAg6y0NSAKZ+Tr/fnwFLPbzdyxd9fm28zQ8BTGpi/LxDv7Ks\nJsBDARMXX5UOD049kbYWuS+EUsJYtHiTo9Eofv78GWdnZ/Hz588ZjxPaghjh6upqobP8aCe8Y2/z\nph4m89PhnLpSmFdXV5X50cGCbGIsX+KCvV6vbHKME00CWF1drWTMobjrNmnT5vU5E4/4+fNnnJyc\nxI8fP0os2AETLxNafnl5ecbDBDCV7qQ8o6uHqUoxA029J21MQKKVG4EURpMg44dJqxFFPCWTi7bD\nY6/IFMk/fC6GGnsHsNTfUcDUUiRlH/5OOlZlnDaKGKocNo5ByJw04YR1dq9ikcSTOrlQwFSW4eLi\nIs7PzyvJbFp3C8goNarz4fmw5uoJeXnQe9ZXv1sBEwaCTGtNPkP/YoSoA6PdwvRQ7C7OjA/0EoCp\nzW+UngXY3RFCLrwk0T1MN4SQkTZG9kKAqUKkgPnz588YjUalCB2PjPcemySI7JSsBpABS7KvNCbW\nhWbR39OMXM2GJTOLg7BPTk7S48iguKbTt0NiDw8PC1cOvaJNGpT+ZPM0UQEKPuphApgnJycxGo0K\nYGYeJmDJ0WV48gglSSxueWbWYRug1H+rh8nBu3/88UfFU9cT2wFJ9zYBTECKwvWIN4tUKeZFKPom\nsPXkGeIoGWNCydHq6mqhYX/77bdS/O+KxktkusR5fK5qFNZRsktLS2V9KTGAZnPQJCWfdX2v0q6b\nv7IoAKaen6plBHiYULKUNBwdHcXnz58rbTrr6PquoMlAZ6newAM+OTmJk5OTOD09jYeHhzg+Pi50\n7Pr6ehwcHFSyjFV3AYxZ7kOTjmubBOSeLUYx8oEx5WDZ7/dLT1ku9LLWk/Le591VXpgXHiYxSjX4\n1YBWwNQ5Zx5mEyXbVTYWOg9TBV5jVQgPno8X8OrmY3ER6oyS1WA+rnWXm6sb6t7jNbBRz87O4q+/\n/op//etf8eeff87EJx4fH4tHiXLc2dmJw8PD4lFqbIU5LwI+6q05YJ6enhaPPothKlheX19X6kRZ\nZ5qNK1i6EC5Cx3oM8/z8PE5PT+OPP/6o1FKRuRkRM3SsghTeNcdRKe0INZuVPLUZ837PPcwMML1O\n7dOnT7GzsxNHR0fx+++/x9HRUcV743LvZ1GZ9s+oo2QBTMCS93WUbFdl0nWorKmHyT4cjUaVuDEe\nprZ929vbKxm+yo44Bdt1ZFSdepjKSiHb379/j4eHh4iI2NjYiMPDw1hfX4/9/f1SRtSUK1A3B3VQ\nFrmfzMPU/aM0LL+zvLwc+/v7cXR0VLkGg0HFkKozVBcxXHm2eJY8T54/uhpGTe+NZB8HSs190aSq\nbJ5/C2A6XRgRM8XFFHrr5sUz0DRg/h4vlcbsS0tL8fDwUGlDxcPVBW5zkw4A6vloJ46zs7M4PT0t\nMROsGC/4xsr0zf3p06e0E8YigqTr4zVTrgyxxthM6oX3er0Zy11rMJ+enir0MXSeb4amebs8eGaz\nx0v4GTKBrCBDeN/a9QPljadN5iFyQfs/VUSLKhfuiaHPW09eIbuXzGR9BtyzZnPyvLJeuO8Zvqcm\nk0nxxjlpBeYnohrLY+009vSejO42A3D0eOD5+XmZ52g0KoCpRjYyhEEKyNfFzT5q7loq5wmB3gFH\nqe4sOc0zx10/Nem1RYxXlY3X19diQGu+BgCkjUPQ3VrWg955r6GnsqqMIzkafl1eXpZSPkJhVGS4\nvqGEh6P20BnD4bACyosY1xEfAJiqHMi0wvOCv9dO/t4yLyKKtUbCCQqelntw/QCQ8s5d5qoU8tXV\nVdmcxC2JRVAY64Pv1IfCpuZzAXgSPzS+1oYnrwMfpSzcKEGZrK6ulmOc9NJ7xouEtj04OCh/A93F\n76CANP5SN1R4oXYcOPC4PeNUA/tc6qFGvDEZmizGfGmewYZgrRcZ7uF7SQ9ApICpdJYCJkYkyqbJ\ns1h0vgC6go+D5enpafz48aMS0wQkNfHIY09/l1fpCVSPj48VoOQajUaVBiDIkZYwaHnP3zFnZEDP\nfiQpEF1BJidr2mSEON1fB5h+L10Nb99PyLHrvrOzs7i7u5thtfR76rz29+wxre/UxMv/j7n3XG4k\n2bW2QVKWcpREue6e2Sf2/V/TiZiZNpLoSYny5Pej40mtAlGO0pz3y4gKUY7MykJiAQsmyXFAH08m\nk0wzBTNLOkp1HDqEdqvL5e+mIpTeoc+pw4eVqrqejFqA6Rc1Tyk2Go3U9FcvX2aCtfn8/Jw69wNE\ngA/xTZoM1HX/vaWF0Cj9+vPnz2TFkMwBRx7RGTpPBUvtTUuKtsYOqj4YD5jeW8d4MFs9RNi3+EOY\nHh4ebDKZJEHCU+JvAB/aoCnw6BqUzVcLx/Fi1JjyBeZRBioeGw3blVpGbnS+9CnWZ7TOiOhwvAul\nhQFMvAvfZAMmQBMrNEblFedHFY/WVT4/PyfWhEYht7e39uvXr1SXZmYJyH1856MGR9lQj51kqfl8\nnvEqAczBYGBHR0cZMOJEFjxMMh/9nD86f5X5KIeg3+9nsv2ZIx4Q8/U0oNKrEUj6vfYRT1P3pDec\n+/1+0n0PDw+hRxx9bl09Fv0d89IEKjBAY8I3Nzc2mUwynweLpvQ4Tgo/o2qAg7LRGbB+HCkY6bWy\n+/oUD1OVIoXlvkPE29tbsnpxp8mQ1HP7ZrOZbWxs2OPjYypABXy8UqrqYSrwsKAIzc+fP+2vv/5a\nyeL1Lc7UusILpoAWMDJ7703LyRE+g7OusCv4eNrbe53QhrPZLNER2mIQzxJ6djgcJkuLlm++d28V\nAPJesfcwlW2IFIWWaQDoGCysLwod+QAsUVhKFfl4Zt3h74cYsvcwSUbBw2TNPHWuYKQe5mdRstol\nSzNNyfrGw+x0OhmDDlrclwPUkVFGnf8hHgUAwdQARADmcDhMQGRmmSYL6mH6kpzPBEszy3iYmquh\nncGYn7bH9B6mvncEkmXrWZeSVcYHcEH3DQaDlKvx8PCQKWvZ29tbAUzvXZbNSe/J/416mJojQskc\nMeEfP36kWnLfblRzNdDJuhfUKCesQ9ybfI916OS1y0ryKNm3t7fUKswLRbvdzlCC2p1G+4myGHri\nBb83y56MURc0VWh6vV4CTFr0qTeaR08A7oCvZroxX3rl+v+vSskyB6X6NB5M9u3W1lbGu5jP5xkv\n2MwyvUQpiwF04PQPDw/t9PR0pbNKVfDxGzSSDVrlaYy12Wym+kXkAq8yKk6eTCYpS5KWbhheygCs\nC5jR+munEeI/eJj+jL0o9kPGaR4195GhSkKziTGIFDDZm3q8mK8F/Yh3XtXrADABduapdCyAiWwu\nl8tcDzNqw/ZZAxmIstS5Zy6NWUeUbES/RsCprM5H6E/mHgEmHubff/9tj4+PqZ51sVgkT4yxDh3s\nv/dUtHqYyC4eJoD5119/2Wg0SnW2nU4nASb6hff1+0APzJjNZsmzPDs7yzTM8etcNmpTsh5INIED\nQCM4qxY/E1LBQ7lpLIvXu7u7NpvNknutNTl57nQ0X523epnakWg6ndrj42MmzR9r28fb4M4Bde0R\neXx8bBcXF+lIGjLPtEauqlLRrxFYvry8pIwynd/Ozk6ivCh8RukTM2bQR7Tb7WaSF/IMhirzVkMm\nqqvyWYLNZjPR2QCnmWVqRz1DQPxQD/PVOdcd/I/SV1zRiTCcD6gnq+Dh+mzTqPa2jiyUzVtbh+Gl\n5zXd2NvbyxwvxrPRzj5VmZu8n1f5X541wO5zCKjjZo01Xq0epp4G9G8OnbOWvSDfWmJxcHCQ8X7z\n1tQbdf51Xdnw/69gxN7HQyaRhtrRp6enBJIk/CgzoqxIEY1ZZ+/5Eh1tlQkzcnNzY6PRyMx+6yoO\nvCdph/dgbmAJZYLsB9hN1XHeA6665rV7yXqKDspNqcOozx8Wgdlq5xR+x0Mys4wVGR0XU+Xm1DpT\nqmxnZyd5VFdXV0nxaucbLG5+l3ecjF4e0NfZBEopoggASjwDwMjHiGnZh3JXuspbeNEz1VrRopTx\naM6AOkN7OfJ8VdDViGHeuvHYuP65Uw6jfSujHpxlI48a9rT8dDpNNXaDwSC1SHx8fLRGo5EUd6fT\nsVarZX/++addXl7a8fFxorYiSkrl4SNehHoNAA4lR3oUHfWfrJ+2ZGMtWUddk88eHjDxKGiBB6Cj\nILn8IdyqF4qUuR911xhlGvU11Sxd7epUdvYi7+s9SX1dJ17omTHYJWLEXNPp1Hq9XgolbW5upr1E\nAwhOqzk/P88cB0iDEN9/uuo8Vd7z6GJNXIuMX9VTygApu6LOlSZD+jaP6+69tQ6Q1gyjzc3NDFVK\n8bkuCq89YBJz0Q4RvKbTj55QrgqxDmjqtbGxkeJ1p6enmaxSYhDar1YbFkAh+/Z/xArzKJe6FqMa\nJY1G9ggn7oGYZdQ5aTqdZugq9XB5T08nKZVYt5jeG1FmlmrlAH4Kkr3HTsxbP4uNoD0vkQ2aQ/gs\nyaJsRD8iwwY6mDpLlMxkMrHr6+uUkDIcDm08HttyuUz3qCU+f/zxRzp4GcDUtVF5iOSi6nrzPj4u\ndXt7a71eLwEm9bfatcX3alYvU42eMgBaB+CjeCAATz2x2fs5n4ClAj6dZbTVpI4yL6iKAeiNXc2W\nBjABQzxLLfDXU4H086LnHdGCVXWcBx/YFs3o1cxeDBPYsoODA2u1Wgkwz8/P7eLiwi4uLpKBQuiG\nNVBjOi/rO7rXaN4eMPUevGGvRr16mNo+k5iyAqZPavtIWGStxgXK/UKhab2dT/ZhUfg/FT6UPDQA\nMQAAM4pTrHOz6mECmN1uNylmM8u0qKJvrc/sRYmORqOVWGHktUSjaNN6sGRdPFiycX1WrJklryc6\nZidPmUQeZlXB8oCpFiDMARnUej4qr9XyUwUANa7tw5ALvUc8o3W9TD5PwwVcKPTb29sMYGrylTbd\nV+vce5jekIoUaR0mwizbmpK41GAwyHQeUsBU0AQ4lVb0HmaeHNehsfya65xZX5S4epjqZSpYsq6+\nc0sexenXrMrwoBl5mCTeKWBy0ot6mGXz8OyPZ8bKhnrAXGpEaekcTTbUw9zZ2Umn1NBU/fLyckUu\nFDABregeymRZwdK3G9QwTORx89l4oQqY8/k8vafqnijxru4aM2qdh+m/52fchE9h1kuVqvcwSYrA\nYmcje0q2rmXgF1pjIYeHhyn+RLG/doYAqP1ZbASQeWjw/14Z6mt/Fc1f15SHrt4xMUqyR7VtH4lL\n3vuKUtpVYDxY1gEena83prDw8CzJ0CW+0Gj8bkbgszNRAMwf75QsN1oORiUR64Ilno8vHaBvL0qH\n2jDKp/b29uzs7My+fPlil5eXmX6xe4H0VhQAACAASURBVHt7yWDJYx28sVEXiLQ+kBaEo9Eoo3zy\nABMPU5kdNVx0rVRu1gVL3gMFp5Tsw8NDun+z97IXT8kCml5eI3bHr6m+f5Wh8ghYqHLW+suDg4ME\nOtqsHIMpoheLPlNf1/XUfLvS6+tr+/Xrl93e3qb/WS6XycM8ODhI/Xgx+C4uLla8MfYICXpFJUhV\nPWNtexd5mPrc1KNlPpohTjtQBrLhT7j6P/Mw9QGyYTRjlYUA9X1sKi+GqYkTKMUoE857XlVvWucN\nJQtFjLAT59HU6u3t7cyRZNAbW1tbmQ46eNkRaNYdqpAYeO8eeOlrO5/Pk4J5e3tbOWrHv6d//Rke\npn41y/Z5Zb5vb282Ho/TnDA4PNABYLyPJg7Ro9cbBXWB3gOmZkKiaG5vb9NxZBRTE8PkHjjR/Y8/\n/rD/+Z//WTmfEcrQJ1KR1p6XqVcFkDwl2+/37fr62sbjcWY9NAYexTCZhwfvMhBaZwA8NKWgf/PT\n01PyZriUkvUxTJ2Dn0u0/9adL+8XeZgKmJSSnZ2dhR1+ojl8ZE5+fpp16o2om5sb+/79u11fX2da\nM8LQQCVrDPPy8jIDaHnxRYArzyhXOdafKdD7JiZ5lKx6mLyP9zC1Y5gCpjeq9T3/FQ/TD28JeQH1\n2Y1mthJP43cAmXqYRbVW61iJZu9lEigQddvpAKE9CLVkQ+vcvJvvHwT3zyZbpxg8sjT94DOUwoja\nhamgKTCSsu+LwOvGiaM58r3GxPAa1ZMxy/fKmSPJFCikk5OT1O2Frh9FXXT88Nat0li+hpFWiSR1\n4fX4c1u5mIuWHiko6hx8zFjXu8yr8PehZ0gCPtpgG1bFny3rFXq0r/VrFXak6vqrwlQDSelu3wSA\nPafr4F/r3D8y/Dr7XrKUEqlOIW6pBks0PhMsWUPAXJtsaGb3eDy2o6OjtP8ITXF6Dnup0Xgv6+L9\ntPRP6yGJb+aNPI+50Yh7HqN7MZQWi0XKQNeadxgKbU9JXFb7I+/u7trZ2VlpIlbV5/Hh472KqBv1\njBqNxkqmEoNNsru7mwDTH7DrQaeuwKmXy6L6ZCU99dxbQrphfDcbtWrUGEDoIm/uo8OvMV5vdPis\ngo8eI7S3t2fn5+fpQGPdMHW9+Crz5asaUkrBqFUJZUTsk0bQHF7LmZJ0JfIgXwY4lNro5ZUL3iRZ\n36wP68bZlroRNT6v9+MNFpQsssjfVF1Dv5b+tSZaoYCijNgIpL1HoOMzvCXPaKDAIsVZ9cxQ7834\n39WZn9dpCpgad0Nu+QwtR1snQXHdEdXi+kMBAD3YPDVEqW8kzEQnNBJpeL/7+3tbLBYr7IR2BmMU\n3TMOEoYRXivve3x8bHd3d8lj3N3dtUajYU9PTzaZTBK7py0q2W/sTzVi8ZhPTk5sf38/9QlYZ3wI\nMKMN7KlEBbqorsfMMjWGbGziVNFmWcdT8wDjwRJPkzl6L1g3inb2102vFqV6MMyjqgdUNDxNwSYl\njupbcqmnBy3HxSkr3sKsGgdcZ86REaKAqSCjGc0nJycpGYFCZjzMul6xWuW+Q44HzMlkkrwFPqvV\natn5+bl1u90E3IBQ1C8Zz1SzwdWyVrmsSiWbvZcTsJ76OwwkPZkGKluN0Mir9K89EOUBbJXhqTUY\nmggwPVsSKeUoVunBs84883RapAdQ9GaWMQCqhDOqUO5VhvcwATkFTG0Q48NfejJUq9VKTIuZpf2g\nORyLxcK63W6io2HqyoaXH9X5rAWASfUB88CgAhQpH9HTgvD4YQqPj49TEtP5+XlipgDMddf+Q51+\n/Fe91JPidR0PUzd3nnVZdtOR1cnDItEIS4efKz2Wt1l0o3jLkv9T+sYsu6E+uub+XtSL93Qsz0Dp\nTTI6oTjzPMwqa1xnzkXr6QP93sMEMK+urpJsFHnFZXPyXUbokEPrOwVMYtsYdCT64GEyDwCTuCKU\nEZ6/Nj7nWDLPxBTNOaKufejDU5vEfvWM2WhP5T3vIi8z+vsqQyk5NTbzPMyitn0RaOZ9Zt35Rmvs\njWbvYarxVgU0684peg81/hQwARPNTNfcDXQBoYRms5k8zOfn5xSa0IvEHzxLjggsGv7+VO/y+42N\njQSYeiC76lKaL2gsWUvr8DDJXL+8vLSvX7+mY8nYq//nHmYUj8kDTE0KUi8sAkw8IPUwo/qwuhat\nbnof02NDRDRkRB1GVAwCkEfJ6mbS9fnI8B4zr7Vri86H36E8yYZTfl+9Nb+GnzXKPEwFBWhyamYv\nLy/t6upqJWkhkqmiOUdKBqvWe5jT6dRarVaiMjudTsqGxMNUSna5fD8Jhvd4e3tbOdtV41/If9WY\nm6df/ZqarXqYnU5nrbyAuj+vMiIPE3ZEe4ZGTczzKFddm7z5VZ1zpM+QGX/p52lCijfe1Fv/7FEF\nMCNKFg/z8PAwYwzwd7Qs1LIUGooAloBwpD+LZCdyWg4PD5NniUe8WCwyTe71tc9BAHj39vZS17U/\n//zTzs7OVg6TXnd8OIZpVgyYKjDqYfoEFApM8TKrWJdVh1qh+jAVwPx9RBlc2myZzeIBk/fR/1Ua\neN0N4z017oXP1ESeqCWbJlUdHR2lmODp6WlKoAF8PgsgI+9SX+dRih4wibWQ9o6S1YSrup6DKhlt\nfefjmLPZLNOSi5hIt9u1k5OTTOhAk330rNSXl5cMFa6yg+yr8i2ad7Ru/sJAYv1ofM+e0o4+KLs8\n2jXv+48MNaaVIYkSQHxIRuUjmt+/adwVUbIKmNE8ov3L333E01TjXBO/OBjAd67ieZMYg0zS5ALP\n7eHhIfUhptPV7e2tLRaLTB27P6SiykAfIaNvb2+2vb1t8/ncjo6OEsADiovFIh1ycHd3Z4PBINNn\nms8nKQxK9vz8PHmYqi/yui9VGZ8CmHnWnAqxKm1ook6nk8ogCDjf39/baDRKHp7+H98Xfa4Ob4lr\n+YAemAr/7ZXR6+trKmDX/pzQExpw9sCKkNJCDcWAB1A27yo/Y6hHiECo8UGtHcklWorA32kTcaxI\nXeO6Apan1JRNoLfpfD4PDwRWels3MuUq/t7rzC0vu5RN6gHMe8VkEOKdtlote3l5yRyETBNx/pb3\nR05UeWkv5rw5e+WtNWx6ad9QrHgzS/MlGxhjQA1Yn7nrU/TXGdE6+qJ1M0t7R41TMj6pf6YOOZqz\n1zfrAlCkN/KM3YgxiQxBhteLPkGormPg91S73bbn52c7PDxMBuBsNrOjoyN7fX1Ne+f+/j5z3qjG\n8pFVPfNTexAr1eyNXOZUde7cs5mlEMLR0dFKtx41mNh/Xjdtbm6uhB582ZlnAPx8ysZagOnjBnkL\n4V/jAZGWD2D6gPNwOEzvpbEY9V4jq9iPKE6mR0lRQE+XkciahNrQdmkaBNdG6wrCKoA+M7do7SJL\ntGytzd6BQ711TgihyB7AhDLEyuR5qEUX0UlVRt5cVQb4XD6PVHE8NaULMVy01kq9KFiCdTxMD5je\nqs1jHjQTltNhlsvfR74NBoMMYN7e3iaaSxkKpZD0QPCyeUdgo6DJ/fB8qQHFSEKWtSG79tvkonRK\nayPXAUwvw7qGSqctl8vMPWiZBACPAnx5ecnM1zc5VyW8Dmh6jz0KGXgaWJ9N1OmMuSgoKtgrU7IO\nYGJ0QffP5/MEmugu1u3t7c3u7u6s3+8nzz7qja3ZsbQsjOqcFTCr6GX+jq+8H4lIyANUrdbgq9x7\n+ndraysMPRTVaddd7w/VYRYtTDQh72FynAwe5uvrazp+CmWiPUjX8TCxRljkh4cHG41GmWL0wWCQ\n6ArdHACspzZ8nAC6QC1jBUwt+6jiYTL3CDCLrCKEAmtTPcy3t7cUY3t5eUldMQBLPEw2uy9kryJU\nZdSMt4bZGI+PjyENHwGmdoRRr7nOQLnxzPC81AMs8zABQcASJaUeJqCpp0boGqsBqbWIeXOO5pDn\nYd7f36e5cY9am3d4eJgSmrQdJK+JITInah/rrrP/GlGbGKtR+IO9BpW8sfG7V7XOV0Mj6xpRfp0V\nAKP4etlzUeDXxL+otAgZ1hBLneGN5OVymYnLo6c4YALAXC6XSU60vMozIVzqYSroqBFRdd3V0Of/\ndf5kpdOFzSzbnpBQl19Lkph805u87OW6MvIhStZ7mhGY6VcFTApm4a8VMDUw3W63V45kieYRDRVg\nPS9yPB6nMwJ//fpl19fXqe+mz9pUa5HXWtDL5S18/R1Wsfdc8oZu2irxDm+UeEoW71E9TJT84eFh\nineoMjd7F+bPAEuGAibv/fDwkKFkNf7qKdn5fJ4B3nXiwlU8TAXMPA+T3r1832q1Qg9TjTbNrgQs\n9ZDvsnl7sNFLDQDW7vX1NeOl3d3d2f7+vk0mkxS/IiFCL413EWf6yIiAKA8wVXkzd22P+fr6ant7\ne+kZ+RyCdb0HnWfkYXpPKvofjY3rZfZu0Orls2zryrLuBY2NPz4+puYa6iWSCUsWqjIQ6tlrjFDX\nM0qw02erIFrkTPnfw4DRTpLcBQBUS2fYp0rJUyoTUbLELIto76py8qkxzGgR+KoPVj1MjZdpx5VG\no5Ey/IgRkhJd9SYjxUj24u3trf3zzz/2999/pwOkIzrF892NRiMJmG8anOdhYg2v42FGGyhP4Mzy\nKVk8MxQTc+x0OpmzJbXGVD+rzigyopQ+Qhmrh1lGydKsfXNzsxLI5M0vimEWUbJegVJfu1gs0twa\njUYms5AYplKn+t7sgyqAmeddeg9Taz8BTyjVvb29RMOijHyPVl5DGeMFrwuY3vjLo2S90vaUrGcc\nNHTgSxTWAcpozt7D9M+H+fh70oxV2AszS6DOV/Usq5QWRUP3FDphY2PDnp6eElhSi+np1ihMoLKU\nR8tH5TL+GVehZPk7/hajSHXlwcFBZq9qW0JPZ3vALDu4Yx0Z+RTA9Iugk9FJsRikMyNIvtD76ekp\n1eVgCaHIfJC86Kaj2ILW85DJOBwO7f7+PoGlgqZ3+zUTlnvVB5bX5PcjG7hs6PtjaeFdkhHLWYPe\netfiX00/181bxTCJXvO9/r8qBjY7nWj8+YcoQZ+k5DP91JD6yDr7TaV1rHi5UITIhlq5y+XS+v3+\nyiHIZBaq9xrRfOsYJj6hTWVdDdnF4v30l83NzcQ4aMG71hHzbLT0w9OJUTyrzjr7ZCKlyvGSmY9P\ntPIXB6b7uKbvvFM0Z/8sVH/4Z9RoNJIuoZ0ih0pHczOzlexuagYpdyAUQDzWX3lDM435nlAMuhMv\nHpbBzBJIRkmQz8/P1m63UzmadgbSzPAqzTaK5ECHL0NkRNnS6Fs9UYWyLz8/H7OMPrvq+DBg6gaL\nLAv9Xav13r8QymdzczMlILB5Z7OZbW5uWqfTSQodwVMrrQyMIuXHhcACcnDiKELA2S+wKkqffXV6\nepq60NDez5++XrUEIvqb6GF77x4gIduMIuSdnZ2kwL3hoMH9u7u7jEVpVj0TNVIqfv4KLvydesO0\nxjo9PbX9/f2UfTqZTKzRaCQZWSwWqbGBxlyL1s/Pg+fP52t/TNZAE1IA7UajkZpdqAJeLpfp+C9i\nRmbvNDlJGVoXSdxWExvy5pwny5HlrIlm2gpR25pRTqTlXm9vb/bw8BBmJaq3qleduJt6hBjPGjJY\nLpdp3ZRiphGEtvrTgxKg4KLm4jxL/VrF0I4YHl3n5+ffB4zf3t7a7u6umZn1+/0wgYb7Vv3FKTJ6\n3idNMPwa55VCqEwoJU3JiGa37u7uZjJnuTQfA8DieVDTyDmfZ2dndnV1Zd1uN3O4dJ4s1h0+O9kn\nfk2nUxuPx9ZoNFLt+NbWVqa3s7Z//EywNPsXPUwd6olRPE/SAzf18vKSvKDpdGobGxvpYWpNESDr\nhaRsXl6wVGgjwOR1RCkh/HpO4/b2dgJMPW3F98OsCj5FgJn3e+aG5+UNE6xiumXosWAKmtrfEWvu\ns2KZ/rkRq9YEJZoDoFwwoqC5VAFAH0ZJKUWGFLKnCVJaLI9yReEQ/240Gkl2vXJYLpeplRi0EXP1\nAOEPSK8iG5Ec5yUyIN9a16jrS7cnGlx7Job7gQ5j7TXOafbOrlQZ6llqGYSGDMzePZ9Go5FhgzTR\nRxuA6wkxCqIRsJpZBnw+4h09PT3ZdDq1Xq9nzWYz0aARtaxGttYD0qSFAyegxrkfztwsSm5TeWCN\n0bPL5TITE8Q54SKeTfkRIGVmmfZ5euwXXa4ATPXi1mEcGD7s4HMXFDAxBM0scx4pepdciKr6tur4\ntBim9yoimo4HBz2E50VBKtlas9nMWq1W8oi08wPvpZ5K2dz4qrQqAovSpLZLaV9Pn3HxHtoqbX9/\nf8XDzDuGqkyg8rz1qoJInPjw8DApbO6HMgg8JgVKPMydnZ20xuvUjnrGQe+F56CvAUy6PB0fHyfa\nU0s4lstlkg0UwuPjY/q7KhtW5Uc9ncjD3N7eTnQamcUYGtFGXC6XGSqOxIkIIPRcT6WOygyTPHrR\nW/few/Try/mHJB3piRQk2Wk2MHJCjZzZ+34um7NnQSIDAvZAL+hJ3ata8uLja3p0mT/GrNPpZNgX\nL6tFIy+PgPZxgOdkMrHd3d3M2vFaPUwN4TA3cglwDojdMeeyJBrkEZngubBXoFP1cHQAlKRLZVL4\nXDzM8/Nz+/btm11dXaX5Hh4ertXLuWidfWlOHmDiEDQajUqA+RGvUseneZgeKFGUStMBkqrwtre3\nbTab2WAwyFhtjUYj42FqLEBBrwgwVUnrpR4mmy4vPopXhhX+9vaWBB5eH6E/PT1NR08pJctnaIeV\nojkXUdz++wioUApYl8T95vO5jUajBJ7eu4T+JnaBF1YnUcnPxc/dg+Vy+Z5OrgpdT0rQC2qTDaKA\niYVcFKPis/X5+2bfSskiY8QfaUTB+/nLK0uz1cMFoGS1/aN6PXlr5ynZKMU/uj/vwQOY5+fnKRFo\nOp2muetxSYAl76E1cjAReXOOhqdkMSCQT8AS4PBxYg2n+EvBhws2RZkXL89Fc88DSzNLugqwZI97\nAxuZjCjZk5OTFSYNY6HZbGYAPgp1qLHEfiJmzjNST3c8HicvFmNfqXD2mJmFgPn169eMx64eps5t\nHYCK8k3yABMwBTBpn6kxYU/Jfsb4VErWLKZlUSYKNPx8e3vber1eyprEwwQwvYepYFlFkXuw1Bim\nWqxQsv5vmafvBOQTmLrdbhjDbLfbyUr2AeiyNSyjZRVYdTOxyRTUX15ebDwep7omvE29AM12u52U\nms+aLRtKW+scdf6a5GFmKx4QzxoD6uXlxabTqQ2HQ2s0Gknpn5+fJ8DUz/Vz0M9iDkUxTKVkKamI\nitGVQkIuVHZ4HQFEnofpn61/9l6O8yhZf3+ekqU1IpQf8rBYLFJ/0Kenp4xnx77V0IrKRt6c/dpj\nQPiyJ+34Q8yS/9GhAKGvOQj59PTUTk9PU/xewRLWpa5nGcUySY4p+j++15wH9TA1R0OrARqNRkpk\n0RKPaOiz57P0eTGft7e3BJQKLOwzDk/HePOU7Ldv3+yPP/5YSazCkPno4LmwvzRTGgOawxFYf7Ms\nJauHG0Rx34+C54ebr2tqOIpluVyGlJH+L1+1LEOz/KKvXjlFQXkdfK56o9qAHGXbaDTs7u4uPRit\nofQZasvlMnkL0Bwon5OTkzBLC4+2qrUTbTiNM3lFrRdekKfYer2eDYdDm06nSZEUralnB6rMWS8P\nLkUlNXQdocHzcDhMZ1FOp9NkNPE8fLZpFGMuWk8PYnhJlJWgdLa3t63T6WTKNzRhSteY7ELvQWxs\nbGSO19LyDT3IuSzph3nrXmKO0O+cPqOxPmJT0XqZxRQv9YH8jyataOMRZMizSkWGXkSFUzpGtq4m\nHHlvWuN0uiY8Z5iT6XSaPhtj4ejoyJ6f39tg6tzU2FG9gSzkefN+4BXq5TNJdb3UWJlMJivhK9pH\n+pI6XdO8n0XPQ/M21JjSJvdehjUbFZ3mKwE+Y+QxKP4Za+2qD7EV6dvPmGctwPQWF268L+IHVHz8\nQf+PS2sAoSL8ZypA5Cn0POFhg/I3JIqgGPHGtAyA7DFVIozFYpGpJQUwLy4uEhXL6RV5XSbqrrfn\n9X0zBf25xib1ooHyaDRKGZxeebJmZXRmFbnQ4m0FlOgZ3d3dpebOFPvf3t6mBJrZbJbS45XyKjOY\n8n6HTEBV8zNkT7OMyd72F9Y4h9iSLOHT3aGLNKkD0Mw77zUaHizN4ub0xNFU6ZhZZu4qPwp4yrx4\nYwda03eG0uQw/zXvZ1GWLLoDSpD79PHLKJGD+ZPVTetHni3MhRqKkRHFV6hN1i5Swp5F4PXGxkaY\neMSe8M8BOhR6F73Ec1WQ9/Ms85K9wavP2edxRFce9b2uPqsyvLGizJxnAD246qV/o+v20VHbw9TF\nR0loM2daLvmMNoLQ3kvSDNioYFyvotq1SKFD/6igLJe/T/Y2yypG6jFHo1EqGYAaQTgBLqUQUVQX\nFxeZOkI9QimylKqsr65z1G4ruqit1IsYMYCpzZSLvEhPp/F3kbXsnxWWPpSTHgjrn9P9/X0CSv2q\nh9+SRAOwFXnFeZ6mfjZKG7lAEatMdLvdZFxoU4qXlxcbjUbW7/eTMUbrOY1X4kGqIaUepo+VlslG\nnoeJ99Ttdm0+n6e2g76bTsTm5FnrlPOo0bNYLBKl6wHTzzNPlryHqQB8f3+fW2+neoQ97Z+/GgdQ\ny6+vr6lUSeesSWLRXPXneR6m98qbzWYykMhEJpZKbNjLNDoJg5K6XZ6pgryfVx22Sve6OhJKrRaB\npP6+jj6rMyLv3hsr3khRsMwD88+cY2XAjLwIPEzohPF4bOPxOD1wLCwedkQh5rVl8w+6yMP08/TW\nIhaKUj3U8BEzGw6HKVAMTUJLKwXLt7e3jId5dHRkJycndn5+nkoSVBF+xBrTNdCuNP7IHv0KHcWF\nB8Sz0RrBonUss1zzPE0PmMQcRqNRikn595/P5wkktUOO3iMXMUWVhzpDNyR0Jd6mxrmUMfEF3U9P\nT9br9dJcHh8fU1wlyoj1HiaA6SmwKnEgFCxyrB4m7c+2trYyiXIkSCil7Clar0Qp4VKD+Pn52Y6P\nj1P4AmAqYh/U6ELRsUaUTuzv79v9/X2mQJ394v+W1mmRLuF+ABju+/T01O7u7hJg5jUiUPnQ+XqQ\n0L3slTUGEklVXMThYbImk0kyStA1mh3Me+icm833pLa89Wbk6Wv+j3mXeZbRzyJv7zOGevfqXRYl\nt0UeZhTX/6xRm5LVB6Ebajqdph6ab29vqQZQMwWjuKQCpt+AkdeQB5xFlKx6mghBu93OKI/Dw8Pk\nWaIE7+/v033i5b2+vqYNDCXL5sBTUAEDpOsImPf8WC9tueVjrVwcjwY48jpqxByBTjS/aI31++gZ\n4e3OZjMbDofW6/VsNBqlz9DP46ghBcx+v78S18a7rxrHLpILNr5SvJz0oN5Z1Bf06enJ9vb2khdD\nogRyjnzQZs57mICmGnJVKFl9jUeFh9npdBLIbW1tpdKBxWKRvHMFTR9X9koU5Qy9OZlM7OHhwbrd\nbgZ8qniYfu5RDJPsbN+dhb/V9YwoY2Kt6BL2w8PDg52fn2dofc2qVuNDZZ/fYUREcbGI2tSzIr98\n+WJfv361b9++2fPzc+ozPBgM0vtzigh7l9Kl09PTMN9A51w2on3JM1DjyHuZGkqLvE1Pi37m8AZL\nFC8t8zB9nPszx9pJP+pJ8LDJZIys11arlaGIeA2NiyVsZrnuv5+D/z7aqNGiETfQe2k0GskjGo/H\nGfDzJ41Qd4kyhH7Rje6TndYRMA9AWg+H0tLmA9BadJvhVJbRaJQUCUqz0WhkuoioYKqVpmtfdaOa\nWTI6aD84GAys1+tlng3j4eEhk+xD7FLXjY2hyQmRbHgjKk8uuM+q9+Gv5+dnGw6HiVpFkXgFDyVH\nViysC3HGOsrHA4+ZZTr4aH0k98b+VA8WeVLPGSD1HpuGAvzf+hhoFTlRSpY1en39feiCJkKRsKSx\nYChZAFMNKYCb8rDl8r2PdF7MVmXG03d6LxgRWoK0t7eX5Ej3jqeaO52OnZycpJCTMkGAIc8Fj1jP\nZdVnUsauFQ1vFHuwUVrZX/8mQFadN/OLAD5Pd/3/BjB1eA+IzUWBvJklQfGxFJInhsNh6uCys7OT\nupD41PsIRCPlWLRh1UvVTadApIk/WHVsYM2MpQ1TRL2qcH1U0NhIGCV4jwqUXHgDnNmp53VyH6Sb\nt1ot63a7KbvXdyeKklGqgiYeOSCPIcJ76PshL8QoSROPkhKOjo7s27dvdnZ2Zp1OJ9X1RorOK4l1\nh8aQfaN2KDTWBS+DTOyzszM7Ozuz4+PjJMvQ/tFVd76auUpnIaU+Vcl0Op3UlILawbzzYXkejcbv\nRLnlcml7e3upOLzdbmfa4lWdO0aFr+sk4QfGCQNa45bEAX2ZBe9JTSBe3svLi+3u7tqXL1+s2+3a\n0dFR+puq+5P3brfbdnx8bBcXF4me5tn7C9ZBY9yUdXEQ/cPDQ9qTlHYQ/zw6OrKLi4vUiWl7e/vD\nwOX/T3Wgz2QHnFWn470Td80zqsuef9HAkNOMdDxws2xdqJ57iW7+t+lYs08ETC001XMCta2WxoA0\njZzC3eVyabu7u6l3YVTcHcV7imIo0VAFyLx9P1WUB0pbP59aLwCTThlecUfAuc5YLBapToomz/1+\nP4GlJhL4zj0AJspcr52dndTmyhsoei4lz5J78KAZKX6UhAfMiGZHRsjEpNenb1lHc+Vv377ZxcWF\ndTqdVG8abZAyqrDKUPnWImrq5rROtdlsZrosecCklRix0zzlV2eeSsviDSlFpWUBrGej8fv4p/F4\nbK1WK5OYxaXF88hCo9FI9wFgVom7+nsDMGGUiOVh9KEfMFa5WGv1iPz9cn+MdrttX79+tbOzswSY\nEb3n56iyQ+YrgIkh4RtrPDw8JFCfTCYp1vr09GRvb++H0fP3dBfDo2Y/HB0d2eXlpZ2cnNjBwUFa\n+yqjSOa9MVkEmMowoLMBTJ8x4oqULwAAIABJREFUGxmr68xXQyB8pvZkpi6UvrZ6KolnnP4tj/hT\nPUxAiNISBUt6gXpqi2A3lib0lh4EmgeY3vNhFC2St5wAcQVL9TDxIEmu2NvbS4XRHjCL6Nd1QBPB\nJj6jgHlzc5MKnn3mXUQhqtKkaPng4CA1XPAN4/XklTpKkfv2HiaesY9De6pJvWDKAbTdWafTsYuL\nCzs/P88App9jXSOqaKji0NMyyjxM6iJR1pQb4WFGGY915wv4sHZKsVO8znMHeMwsUyTvDay7u7sE\nbNCnlLB4D7Mu9aWAafYe8yVJTEMHaohrckyj8R5O0HlqfSHrsL+/b1dXVyuAWaZQFTTVw1QWhLDH\naDSyRqORAZbpdJo859lslgxIzbgmH0IpRtrlXVxc2MnJSfIwqwBAHk0byZaCZVQDr5S2Z1aI+yuj\n5z+ryvDzjfI08ObNLDF8MJB5HqbfW2XrUmesBZh+4ZWSRWgULLH+fLNvaB/v9WxubqYWc0rJRrGr\noqSfvOE9Bh8b1E7+bMqdnZ2UEQvIKGCqMspTfusKk0++UMD0Fi6Ulae/mR90J3HXs7OzjMWGgaJB\nf/Uw9T4ia1Zjw8TP1MP0dDgZ1BqTQOER/9HTEjRVH0o2KskoivHUfQ6Rh6nGHoCpHqanZDVrPA9o\n6lrlCj4kMOkh3BoD5HgxLrJcuR9kia/QX8QaiclFgFnnHpizWTZBCipTs0UBcw53R5+YWZIbLT9h\nntr2jYYO6BPPSJSBJvPEw0QXHB4e2s3NTQJ+OpSxDzUhTE9H8fsIr5/MaQ35RICZt8ZRXNbfi9eZ\nyHUVD1ONRZ+bwlXEQpUNnQ/PGefFe5gRYGr4qKp3uY5RXRswvUWBJeI9zIiO9D1LabCtXgTC6AGz\nCiVb5ebVI/YBeB/HvLu7S42hAczz8/MMxQaY+1jfRzybyPIC1IsAE0Wu3hsXShVPWb0fPExd7zrZ\nmz52nEfJTiaTMOYD5UWpBUkTAA5rDrjrEU+qAFk7Be2PPg+1tFVe9IxWpWSjGGa3282UG2kM86OD\nvUAiG16NJqnAKugxehTKUx/rL8CSGJsaL8iIj2FWuR8AE7BU5a1JRRgiWucKqAKWeL+8pqTD10CS\nlcxxUJ4N0q/RwMM0sxRn5Jma/fbWZ7NZomABftWBxJJ9ZipAz/qyF9GH7Ak/zyqeZt7feEo2SorS\nygCNYdLPm3vi+ShArgOWZu8xTHVgfAyT03VYI1/zXnWN1h21ADNyv/EKtbGzZqEy+P7l5SVZmHil\nxCr0vVCG2uJLM6J8sLlow0bemloweD+z2SwlyBAPYmMplYvS5CFBQfpaoDxOvYoVrnP2mYWstdK1\nZpaEW1PysSzJ6OWsSYAoauendXDqOdcder+8D8pOnw0eJskaR0dHqQ4Nb56r0+mstOmKPLU6FD1D\nsypRItRYkqxBXasmbUAfs5H9STUqv3lZ3+sOLX/Qe6L+mb9hz2HBa45BlO2qyUSAvypzH4utMtSQ\n8Zf/eVRnqVS+eqd6zicyDrhDw6rn7cGyyhpDSaOntre3M0YqxtPGxkaGQtZwk9dVeGW63jrXqiER\n78CYWWg0U5WA8Ypco/c0wdEnAOpcoqSausZpxADlsUJ6H1ru5dkr7azmGxl81lg7hsmCKa9MEHs+\nn4cPcTQapRilxji14XV0aUzCB/rLFLr3NjQeOJ1OU53iYDBIcdblcpmoNerr6MKBVay0AQLo56zg\nU5RVlre+DCzcTqeTLO1ms2nD4dAGg0GqcYUK15gOX2muAFByUVCv5RERtRGBfZnniVWNIvC1r1xa\nfI9ihkZTujhiGjw4+rnl0Z6RfCrboFnHvnMSJT2Lxe9DrCmNaLfb1u12rdPpZNbzszP38gwCfuYN\nLH6mxp5mnWtMiveDgtWuNdCx3qovMgQjw1mpP63HjjLV5/N5kmsPLtqeUj1KmJLoPNooQazKM2EP\no7vMLB3pp8lqx8fHK0l46EMfSvIdl8oMCV7nUZ76N8r4ab6Gr8/mms/nqSkLTfV9MqA+dzX+Pmto\nqYuG6XBItOafemMMZtbTd5fjUI8y2r3qqAyYukn1gWFdq7Wt51bqhiHgDl2Hex+10YvAUh9SpITy\nrB4VQKhY6E0tqo/4crxlYoiNRiNl9N3f36fjkfxBtXxFaaJczaySkHnAxPvSzQm9BFje3d3Z09NT\nhv7j6+npqXW73RXA1Pl673IdoGSgtBUw9/b2VixvUv/xgNX7xWPQDaugnkcX+7nmKXQvoxhFemYg\nBe+a7KMddIj1tVq/z1LNA8w6DEOVERkKvC9rD2XI94CldtQBWHVvN5vNDGBCcyodrt6a34PRUM9H\nk3kADZ/hrYaJAqbem+/nrF6mAqYmsFWpvY3WWr10ZW1ozALQnJ6eZuSHDlD8HUO9Je8965r578vW\nVz10beDAs6fWWS/0xmLx+6B5MnMVMNX4iDJk14kHFq0zcumbaJBAimOALoXOVfodhy5v7daZ64di\nmEpH4cofHBykejAmymvAB8CZzWape0tUoKyAqYvn6cIift9bbN7DpMcqNYvQm3kepnblwGuCRtEN\nC7BhHUWZkWVrzH3gYb69vVmr9X6WKNYuMZTt7e3kPfjT5j1QcnmvWJVKFbq76B6gzdTDxNrd2Niw\nl5cXa7VaqT2anvxydXWVaSOnG9YbTLpZozmXUbJcPOPhcJg6Dk0mk0zDB83gXC6XCXT29vas2Wxm\nai4VVP6N2rDIWzZ7B0gPMMi9UsQaPkE+W61WWnPvYXp5KfLYvEGie9D3RlbA1MQ7SkyIFed5mKen\npysHSGsCm1J0VeTCr7PuW10jjFfAkvrLfr+f8gZg0jw9GoGl9y513fR1njevTBoAoxnQw+Fw5dIz\nXomtEqeNPEz1BKH282RxnXXWRhHoTXV0OIOUvc/vHh8f7eTkJNOYRQ8LX2dOfnyIkjWzFMdAaAjW\nm61uFIRHO+q8vLyEQOk3prrndbwfHxcpKtFgE0PJIhgoU+o17+7uVjw4Gi6wuc0sWUpqYGjcIm9d\n/e/xMHWdT05OzOw94WA4HGbS/30fU5JmPGCqIuF1nmKv42Wq4KuHqcDD52qbQQVMNUa4sBiL5uDl\nokgm9MJLH41Gdn19bb9+/bLBYLDS5AK2QI05EmyI8+3v72cO1/1sD9Pfr/+ez2X9F4vfLfJQeuph\n8j/KCuBhYgBCj6t3ofeWN5dozX0SFYowomR9HNDnOqjcqHFFEllkYK3zDNRIV33GfkSu7+7uMs0G\n0HdQ4ugX1UceLP2a6fdV5q0gQtiIhC86ammbPqhMjZ/u7u7m1mdHRmnVuRUNjGxfQ6weJjFLaG48\nSzxp9fg1jv9Zc1y7rIQPx4Pwv/MXNzybzWw0GmXqZ/TKi11y8Rn6eXlDAVstOwXM4XBot7e3KRGC\nTcFcoIyUPuL3Wju1tbWVsrkoJtcDWulUEllgZQOvkgxMrNOHhwcbj8fW6/UyWYvadoxELDwEf8iu\nX8c82lJHHu3t/96DplderDcAz3wp3fHUPEk+KlN89fOqSiNHHuZoNLLb21v7/v279Xq9kMHAgNGy\nAJS3r7csW8/PHnlx/dlslgFLTU7j/1BYWqKhtGyZwepHxPD4jGMYG82e57WnKtUI0HIXaEMNh1Dy\n9dGRd49KZTPm83kyipGn8XicAB9nImoaUNXjLFvj5fI9P0STYkajUQYouZbL380S0B/kSxAP1paF\n1Pz6z+V71svPr4xK1hF5sP5+wBktQ3l4eLBG43ciKs1DcOCqMk5lY+0s2cgT4jUxNe3Y8PT0ZD9+\n/LCbmxsbDAYpPjSfz213dzdzGoSCk+f163g5CKhvW6X1oJq6rN4sX1WQeQ0oocT56rtP4PFFWb15\nwxf1ewtK07v//vvv5AVNp9NMbR1HTZlZAnkFd1WanrKqG8j3NJOuMx65ljT4OtFms2nj8TgBKqn5\n/uBlaE59vma24jlUtcJ99iWer86bzcngNR4Fz0P7+/p2hXg62tFFY2mf7XFGFB4KXJ8HSjRS2ltb\nW6kGkj2Ztw/zhq/zAyij4+c0lwC2B0/ZK7v9/f1EJcOw9Pv9DLsFbVuFkShax7LfeaBSQwCZoHzH\nU/skO93d3WUACdlAz6Dw8+ahssxrnALt40yIgb1IL9vlcpnq5ZfL9/yS5XKZmBQM2sjDXGfvqcHL\na+hW2noiFz9//rR+v59aCvKMn56e0lqhf7yRTezedznD+ao7PtTpJ29x8H78xvj586ddX19nkmw0\niSJq7oxXto5lrhYtytk3T0CoSalmkaEnorR2PEjv/Wi3HH+AdNVygsjyhMLW2I6uJxm+CpiAHh61\nes36Vb16aCb/jPMsR7/O2mpQC+I1k9h761Aoo9HIms1mAtvpdJopJ2HzKstQdeMWxXsU7BUAmbs2\ngdf3wwhEMQKIvonEw8ND5qQS5EcVz2dQRbyPvze9R50vGeJQzp523t7ezj2VJDKWowFgKkjAivhs\nTRT5ZDJJBqxmpmpmPGwKgDmdTlOcy+z9YG3twFRnnb2uyfs+Aiot8Ffj5O7uLqOHiMnyN97zV6ZI\nGZQyWVaDFe+23+/br1+/MrXbemrRcrlMFCc68u7uLlHOmpRHs/jo0jmW7T8fz2UtCJMpdczpRdqD\n18xSvokauz6ER9tFDesgI+vsuQ83LtCfM1TpcWLGcDi0m5sbu7m5sX6/n+p/Hh4erN1uJwWkAqUU\nhf+MKkMVoe9WoUIzm80SCJpZoj4PDw9XrCC8A7VkeK3Fxlq7VNa7kqG0lXphSh/remI1Rh6mxjHm\n83mizzXehuXYbrcz8SGfSVhGubHOmsjBOquVPZ1OV2KBbHCN90wmE+v3+3Z5eZnqw6BZaKoAdR5t\n1rJ5R2Dpa2zVw4zeTz0YbUGnQKnGILErZMcbIR8FTb8nI4WkpVB4mMPhMDQK2+128jA16UaTPMqo\nNm+EECNGIaII+/1+6nmssSgtj/FhGzxMElZQ/DyXvb29lRBIVaCP1jQKOUTlMZGHiYHrwztmlowt\nLZfSmkyMFR0R5al70ANmr9ez6+tr+/HjR6afN6+Vxn14eMiUG+mpOxhPGDFmWXaHuZVRn7r/1DEC\nMPv9vl1fXyfnCkNqMpmkHrxmlnr0KgOnYAmz9/r6msloZu7rjA+1xssTPgXMfr+fAcp+v2+DwSCd\n0agUo1KyvvPEuh4mD8V33PegSaKDmSXlfHBwENJbWLC+DIa4iadk1cMsGyr4rMd8Pk+W4s3Njd3e\n3trNzU3GUiejEO9Og/7E0jSxCos2SqaoO6I5e8DEw4zoGKg0+m4yR4CfDh9a6+tbcdWNT3ir3IN9\nBJj6/igNpbO3trbCfr4KlshJFdCpOiIPKFKiHjAxviJPaX9/Px27px6mXmVxKfUwWRc+9/b2NiVW\nXV9fpyxSnQvxKF92RiIIHibJNhgje3t7SZkyn7ogWeVrxAbleZh0NVND0ex3zNNnqCtQsfZlhnZk\n+FEiNRgMEmBGxpHZ+zFwatSTjd/pdDJsg8/4jyoVyobOFwNCAfPXr1/2/ft3u7m5yehrKFnumXtV\n48qXIPJZyBNe5jrjX6Vkycr69euX/fPPPxkFj5Lnb30fybwYZtln61BK1nfc9xl5Ozs7KR0ZSvbg\n4CB8X36v4BO9XjeGqUKvsYher5cE6cePHyttzVDO3C9CzWeqN6zxNAVLzSqrMiLQUVrTxzDzniUG\nlhoX1FrRJk+z4HTDrguYeR6mxiQ9YOqcPSXVarVCDxOQpwRLMyU/CzT1viJlrkkT3sOMjJjDw8Mw\nhllmvOrvVKEpUFPK9ePHD/v+/bt9//7dXl9fV2JM7B/t6EPNK3KOTNCTmq4/vtlBWVih6F4io5n7\nU9n3yUzKrnAak09iUrBEnjEQlQ5neDmPjCPWJfIwfUKNhm5UZhaLRWo1eHJykjGe+HzN+K+z//yc\n0fkAZq/Xs58/f9pff/1l19fXGc+cr9548wyZD4EpWPqa2Dpj7QOkGT6z6+3tLbVc0nq2m5ubTFNz\nah4BNRWiukHkonlGitzHSQEJDXBjWTF04fEwI8tX44NKC1Stw/NKhkD4ZDJJMSc8TU0iwIJSbl4/\nSxUmVj4JEZrVW5RkVbbWEQhp3IbaqSrvZWbW6XRWYlyHh4dpfRVo1pUTrwijuUdJRRpfi4qto5KL\n6PN07p8NnN6QgVb1nx0lbekeifZmleFDIgokJHYg02a/O+ewpoCjGqG+FaIaOXqQAvta1/qz1lUH\nNKZ20/Fsmcb1dX/gQftOPHm6qWjdI4NVDT/Wm1ptKG1eMw8fYzV79zwx2gmL4KUBmnUSBZX586VF\nmiVN7Bf9CbPAZ3qQN7NMbfrd3V2mOQdeu7ZjZVSVj1qA6WkJ4iL+Gg6H9uvXL7u9vbXBYGCj0ShZ\nWT4mgiAoraVNC3yxcZ2BYCpVqNay70cZFWqbrSZ8aJasj6tohq3GL6t4mGxA7WiBlUjWmK6hgiRz\nYo4+zkdt2GLxux5vNBqlv8UAoGMTz0VH0bw9iESJGlwqP3meiipENitUDcBO6QCWY92hc/Zeoq8F\n81nEKqdKyftTJ/T0CQ4wppDej3WVul9D73ko+LNW7XY79er1SovX0bOLWiZG6+pjfxE9rJ4MMWo8\nGvbe0dHRyueRXapgbmYreywvrlZn5Hn//Jz1VbDGE/M0vL9v1kblTnWHb/+on63f54WdPJWO3oI5\n02tjYyPT9B7w7na7KUx1d3dnt7e3tlgsUm2uJrDVGarntCSEk5YAM3Szv/g8T4cvFotMMuZisUig\nCfMQrYtf36JRGTC9ZcyDQki47u/vE2fuARNFr6c8YIlr/0C1gj7SQNd7mCgEBJaHQtzD15wBmH4h\nvTL1X72iVQAr27zEmqDO9JR2KFjWUeeiNIt+5bVmwj4+PtpoNErxCKhCbTyvoypY+qxG/xXLMKK4\nIqXEWrAOg8HAtra20maFgimiCIuGPg9dK41PaimOvoaF0FZcZEf7SxsAaPco7r9sjdcZ6s1okokC\n5unpaUq2gM1g3b381Cn8V9CMWAcPlgALJwKdnZ3ZxcWFdbvdTGmaemCaaGMWA6Zf1yprrCBZZMTw\newVMPCRtXoKOUa9N6W/2jpe3KLu+zMNUZorwlq4RgHl4eJjJQN/a2so4FKwxhqnZ7+SkXq+XnCLA\ncnd3t/b+Y920gTpJXxga3rjzV6PRCGvkfZwYD/Xo6CgTtgIDfGinbNT2MPVhazYWfQlJTrm9vbXb\n29uUETudTlcoBxZalVQepRlZVjqim42sL00G8B6m9s5UD1Pf3ytYr2QjD6sOvYzlpUdi5XmY3uPx\nRoYmpSAUy+UyWXPEbvf29qzT6YSef97a+rX3HmbeFcVxovczyzbKx8Pc2NhICgCvZB3A9PQq1r6u\nm2c8NE5NgwVtCtHpdFaYBzXIUECAfKSQq3qaZXHEiF5mzVBC9HKGHoWeJRPSP8+Imi4DlCie6sM4\nqnwBzK9fv9rl5WWKfVPDC3j6+1ewLALNOiOiyr0xgG5R+tOfeARges+U9/P6z3uYRete5mFqHNev\n8dXVlV1eXtrOzk7IMugaUI5C43MMHCoJ6gwFTHUOiNmqMUwTBX/MX6vVyoQa0JtR+d1yuUy6Uz1M\nXccq+SVmawKmPnRtJ9br9RJIakYsHqbPfkUxY2FhXUWUbJmHmad8NKGjiJKlMFePwcqjZHWBveL1\nXl5eyUPePfhsRvUwFTAfHx8ziUV0y6EdmyZPbGxspBimpviTDdnpdDIbXfn9MkuboRa+zx5Vpcvm\nUitev1fFpIA5Ho9TUXej8ZtGpjftRwATsEQeIkrW08Dtdju18OO6uLiw09PTkIr2irCMQi5b76L7\n9YpUGRazLGDiSZL1CFh670bZA/85ZaMqJdtsNlcA89u3b9br9VKSD5ngtJrzIBl5weuApq5h9L8R\nJatJPnmUrNm7NxjpDZ/sVJb/wPc+HljmYULHf/nyxf7888+UVewvrVXnNXJBBm1kvFSRCZ9RDGB6\nSrbRaFin07GLi4skE9++fbONjY0MhQz4UpHx8vKSqemlSY56mBgRimmfRsnqzaqXoIB5e3trP3/+\nTI0JtDM+GZI+vmGWbaGmhfR5PH7R3Mr4faVk+cy8NmB5lKyfv24sFe6qVosO72ECmATA1cNE8WoM\nkoN/lT6k3GEymSQB5TV9ONnonuaqIkR+42OBRuDhn1O02Xg/NcgAS41t0Pqq7ob1bIEqXAU5D5hK\nvXa7Xbu6urKvX7+m6+LiIvP+0efp17x792tU554YEVCZvQMmMU32FmD58PAQPjc1/qoOryvyvEuA\nhWfa7Xbt69ev9p///MeazWZSeM1mMzNHvXwsOs9A/ciaRr8ro2TVw1TqVGXBG2haFqEeJn8f6Tif\n5V3kYbLGX758sf/85z8ptqfG9OPjY0rYxHPu9XopexZalzrOOkM9c4BZKVn1MDc2NpKH+e3bN/vv\nf/9r//3vf21zczM5QZplC5BOJpMUw2y1Wpmj4sAAlZOq91ArhumpFc3k1Mw32kA1Gr9r/w4PD5ML\n7VOEVVDwLqNDd/OsPP8zPzzloQKogKqxsn6/n9LX/WcodRcliaiyrUrD+vlGc46UF8FsbY7N0Tw+\nRX82m9ly+d7JA0CKeH/NzPNGTtl8UYDUGxIru7i4CDclFHkepabPBu9VA/jrepg6fwwDT29rw3fA\nAgWp9JWGGfK8naK1i+jNdWlEvSe9H02U0Wf89vZ+tBa1uXlJa3UHMqpF+I+Pj8mww1tnjZFJ6nH9\nod1QbI+Pj+l/lCGiLeW6B0WvM3St1eiHvsfQYqg3aPZutGtvXO5BO/8UyVGU2R2FnXTdNURAIprP\nISHcRo9ZM8t8DhclPd6jr8KoqTGlcV3W1cwyxqs6Ap7RajQayfHBuD04OLBms5mOJVPjkDkwqsh4\nbcDUhdK6Rk0F5jBSlBtcd6QsvZLSrvm+SbQfCppVwFItNxZOPTriZDx8Cuf9Bc0SXdwHwFpX0fj5\nRjFdFBmxMSiW8/Nz63Q6mb9TL0nrszRTU+klzeKrCvgKEryvHgrd7XbTgcsaYzCzDAXsDRFPy7Km\nR0dHK7GidTyyPFpMDTcFTN1o0dmNrKteRcpuXS+ozCLW+9HMae/dYelzDxoK+WjCndk7GOzs7KTn\n9Pr6apPJJHN0G6yI2fsxepy+Qyer0WiUEt9Q0ChCTarStpTrMDx1Bl6b36vIDqfz4IUBDMSI+X/W\nCHCl2Tn6z3uYfkTxasJdGxvvR6G9vLxkGtRrtzLdf+jJqGWfZvgqe0f5lQ9D5Y1Ir6pMK2B6I5rB\nfPm/t7e3zElNOBJmljlBBmaUeZTNVcdaHqZvBKAF6ri+CBK1U61WK/0N3gLUnRe2vFPSo1FGm+QB\nJvcElQFgsnGhgbyCIQUeS8ZbbCShYF3XHczZZ2j6ZADWVkHp8vJyJY6mr7VEQ9cgos0USMo8OF1n\nBnPThgONRiMpQtaYwv7IW1ePQ8Hq9PR0BTC5lzKZyJu/rjuAifXN75gDIKMXcq3Py8xWZDePni1S\niHlz1uGfEWvIYP48awyM19fXJLdFgLkO8CgYsCfe3t7SkXOAZh5gmlkm0544/nK5TOeP6nF3eqya\nekV5a/bRoSATGf3aG1vBhV7PCpi+LEkP6eY+IjmKqHc+TwFzb28v5SzosXkApnrILy8vKRPct/jU\nz9XP0z3Ms88bEWsXgSWAGYEl3+vaKNsAYJL0w8k1sGAwoKq7qjBVtQBTE2iinqEojvl8niwkTZaY\nTqfJYtJJqxcUUbLEKOqOMg8Ti5fMLE5HB0DH4/EKVfn29rsxNXFOPTCa2h6lotaZs7daFTDVc2Ej\nKGCen5+HyUdmlihnXwDuNx2AWQUsmbO3CDX7lngO96RrrB6Y0is8c+QEcF0ul4nFILGhbpaezlmB\nKs/DVKMJOYi8S7w0jRl5EI+A8bMVua6lvlaw5O8oHygCzKpMgx/sA9aDDGcPltFB7cPh0F5fXzO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KqUbOSUlY3aHqZZ9mDh6MK69kIcUZYeUDwlW9cCyJuzfq+Zhd671c/nb5QO0yJ5wFGFNY/S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       "text": [
        "<matplotlib.figure.Figure at 0x10d90deb8>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Other Dimensionality Reducting Routines\n",
      "\n",
      "Note that scikit-learn contains many other unsupervised dimensionality reduction routines: some you might wish to try are\n",
      "Other dimensionality reduction techniques which are useful to know about:\n",
      "\n",
      "- [sklearn.decomposition.PCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.PCA.html): \n",
      "   Principal Component Analysis\n",
      "- [sklearn.decomposition.RandomizedPCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.RandomizedPCA.html):\n",
      "   extremely fast approximate PCA implementation based on a randomized algorithm\n",
      "- [sklearn.decomposition.SparsePCA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.SparsePCA.html):\n",
      "   PCA variant including L1 penalty for sparsity\n",
      "- [sklearn.decomposition.FastICA](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.FastICA.html):\n",
      "   Independent Component Analysis\n",
      "- [sklearn.decomposition.NMF](http://scikit-learn.org/0.13/modules/generated/sklearn.decomposition.NMF.html):\n",
      "   non-negative matrix factorization\n",
      "- [sklearn.manifold.LocallyLinearEmbedding](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.LocallyLinearEmbedding.html):\n",
      "   nonlinear manifold learning technique based on local neighborhood geometry\n",
      "- [sklearn.manifold.IsoMap](http://scikit-learn.org/0.13/modules/generated/sklearn.manifold.Isomap.html):\n",
      "   nonlinear manifold learning technique based on a sparse graph algorithm\n",
      "   \n",
      "Each of these has its own strengths & weaknesses, and areas of application. You can read about them on the [scikit-learn website](http://sklearn.org)."
     ]
    }
   ],
   "metadata": {}
  }
 ]
}